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Finding the Fourth Proportional to 415,401.68, 572,877.96 and 272,109.44

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Solution

The fourth proportional to 415,401.68, 572,877.96 and 272,109.44 is: 375,264.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,401.68 : 572,877.96 = 272,109.44 : x
  2. Step 2: Convert to fraction form
    415,401.68/572,877.96 = 272,109.44/x
  3. Step 3: Cross multiply
    415,401.68x = 572,877.96 × 272,109.44
  4. Step 4: Simplify right side
    415,401.68x = 155,885,500,883.94
  5. Step 5: Solve for x
    x = 155,885,500,883.94/415,401.68
  6. Step 6: Final answer
    x = 375,264.49

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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.