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Finding the Fourth Proportional to 465,575.46, 642,446.24 and 261,593.96

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Solution

The fourth proportional to 465,575.46, 642,446.24 and 261,593.96 is: 360,972.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,575.46 : 642,446.24 = 261,593.96 : x
  2. Step 2: Convert to fraction form
    465,575.46/642,446.24 = 261,593.96/x
  3. Step 3: Cross multiply
    465,575.46x = 642,446.24 × 261,593.96
  4. Step 4: Simplify right side
    465,575.46x = 168,060,056,008.71
  5. Step 5: Solve for x
    x = 168,060,056,008.71/465,575.46
  6. Step 6: Final answer
    x = 360,972.75

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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.