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Finding the Fourth Proportional to 409,592.92, 564,769.98 and 332,902.12

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Solution

The fourth proportional to 409,592.92, 564,769.98 and 332,902.12 is: 459,024.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,592.92 : 564,769.98 = 332,902.12 : x
  2. Step 2: Convert to fraction form
    409,592.92/564,769.98 = 332,902.12/x
  3. Step 3: Cross multiply
    409,592.92x = 564,769.98 × 332,902.12
  4. Step 4: Simplify right side
    409,592.92x = 188,013,123,654.36
  5. Step 5: Solve for x
    x = 188,013,123,654.36/409,592.92
  6. Step 6: Final answer
    x = 459,024.35

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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.