An eagle can fly 15 miles per hour; a falcon can fly 46 miles per hour; a pelican can fly 33 miles per hour; a hummingbird can fly 30 miles per hour. If the eagle flew for 3 hours, the falcon flew for 1 hour, the pelican flew for 2 hours, and the hummingbird flew for 4 hours, how many miles in total did the birds fly? Let's think step by step and output the final answer within \boxed{}.
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