Fishing one Whales takes 4.5-11.25s (which Dragon Fishing Rod and Fishing Amulet), so 7.875s on average.
This page was last updated for (v0.22).
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That's 7.62 fishing actions per minute or 457 per hour.
Each actions grants at least four whales, so 1828 whales per hour.
+5% to receive 8 whales from Pudding Duckie, +10% from Aorpheat's Signet Ring, +12% from Fishermans Potion IV, +5% 50% Mastery Pool Checkpoint, -3% to receive special items instead of whales = +29% = 2359 whales per hour.
Each sold at 750g = ~1.77M per hour.