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Finding the Fourth Proportional to 415,126.40, 622,689.60 and 378,384.80

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Solution

The fourth proportional to 415,126.40, 622,689.60 and 378,384.80 is: 567,577.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,126.40 : 622,689.60 = 378,384.80 : x
  2. Step 2: Convert to fraction form
    415,126.40/622,689.60 = 378,384.80/x
  3. Step 3: Cross multiply
    415,126.40x = 622,689.60 × 378,384.80
  4. Step 4: Simplify right side
    415,126.40x = 235,616,279,758.08
  5. Step 5: Solve for x
    x = 235,616,279,758.08/415,126.40
  6. Step 6: Final answer
    x = 567,577.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.