Not even Usman Khawaja's second century in three days against Victoria was enough to prevent the home side claiming the win, with Finch smashing his highest List A score of 188no, hammering 14 sixes in the process.
His effort put Queensland's competitive 304 run total in the shade as Victoria secured a nine-wicket win with 34 balls remaining.
Khawaja hit 112 off 125 balls, as he and in-form opening partner Sam Heazlett put on another century opening stand for the Bulls.
Heazlett also continued his outstanding one-day form, staying on top of the Marsh Cup's run-scoring charts in posting a rapid 69 off just 51 balls – his fourth straight half-century in the tournament.
Left-hander Matthew Renshaw also continued his recent good work in the top four as he applied the finishing touches to the innings with a 73-ball 66 to see the visitors post 6-304 off their 50 overs.
The Bulls sit in second spot behind WA on the one-day ladder with three wins from their opening four games, and now turn their focus to the opening Marsh Sheffield Shield match of the season against NSW at the Gabba from Thursday 10 October, a clash which is expected to be laden with current and prospective Australian players.