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Finding the Fourth Proportional to 354,234.51, 530,572.92 and 292,747.93

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Solution

The fourth proportional to 354,234.51, 530,572.92 and 292,747.93 is: 438,478.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,234.51 : 530,572.92 = 292,747.93 : x
  2. Step 2: Convert to fraction form
    354,234.51/530,572.92 = 292,747.93/x
  3. Step 3: Cross multiply
    354,234.51x = 530,572.92 × 292,747.93
  4. Step 4: Simplify right side
    354,234.51x = 155,324,123,906.75
  5. Step 5: Solve for x
    x = 155,324,123,906.75/354,234.51
  6. Step 6: Final answer
    x = 438,478.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.