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Finding the Fourth Proportional to 415,215.77, 572,997.75 and 224,229.15

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Solution

The fourth proportional to 415,215.77, 572,997.75 and 224,229.15 is: 309,436.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,215.77 : 572,997.75 = 224,229.15 : x
  2. Step 2: Convert to fraction form
    415,215.77/572,997.75 = 224,229.15/x
  3. Step 3: Cross multiply
    415,215.77x = 572,997.75 × 224,229.15
  4. Step 4: Simplify right side
    415,215.77x = 128,482,798,434.41
  5. Step 5: Solve for x
    x = 128,482,798,434.41/415,215.77
  6. Step 6: Final answer
    x = 309,436.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.