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Finding the Fourth Proportional to 566,195.92, 781,096.42 and 382,374.78

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Solution

The fourth proportional to 566,195.92, 781,096.42 and 382,374.78 is: 527,505.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,195.92 : 781,096.42 = 382,374.78 : x
  2. Step 2: Convert to fraction form
    566,195.92/781,096.42 = 382,374.78/x
  3. Step 3: Cross multiply
    566,195.92x = 781,096.42 × 382,374.78
  4. Step 4: Simplify right side
    566,195.92x = 298,671,567,154.29
  5. Step 5: Solve for x
    x = 298,671,567,154.29/566,195.92
  6. Step 6: Final answer
    x = 527,505.68

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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.