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Finding the Fourth Proportional to 541,652.96, 747,471.89 and 299,930.34

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Solution

The fourth proportional to 541,652.96, 747,471.89 and 299,930.34 is: 413,898.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,652.96 : 747,471.89 = 299,930.34 : x
  2. Step 2: Convert to fraction form
    541,652.96/747,471.89 = 299,930.34/x
  3. Step 3: Cross multiply
    541,652.96x = 747,471.89 × 299,930.34
  4. Step 4: Simplify right side
    541,652.96x = 224,189,498,108.14
  5. Step 5: Solve for x
    x = 224,189,498,108.14/541,652.96
  6. Step 6: Final answer
    x = 413,898.78

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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.