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Finding the Fourth Proportional to 541,414.46, 747,142.88 and 299,691.83

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Solution

The fourth proportional to 541,414.46, 747,142.88 and 299,691.83 is: 413,569.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,414.46 : 747,142.88 = 299,691.83 : x
  2. Step 2: Convert to fraction form
    541,414.46/747,142.88 = 299,691.83/x
  3. Step 3: Cross multiply
    541,414.46x = 747,142.88 × 299,691.83
  4. Step 4: Simplify right side
    541,414.46x = 223,912,613,992.19
  5. Step 5: Solve for x
    x = 223,912,613,992.19/541,414.46
  6. Step 6: Final answer
    x = 413,569.70

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Why These Related Problems?

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