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Finding the Fourth Proportional to 731,517.76, 1,009,496 and 409,233.24

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Solution

The fourth proportional to 731,517.76, 1,009,496 and 409,233.24 is: 564,742.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,517.76 : 1,009,496 = 409,233.24 : x
  2. Step 2: Convert to fraction form
    731,517.76/1,009,496 = 409,233.24/x
  3. Step 3: Cross multiply
    731,517.76x = 1,009,496 × 409,233.24
  4. Step 4: Simplify right side
    731,517.76x = 413,119,318,847.04
  5. Step 5: Solve for x
    x = 413,119,318,847.04/731,517.76
  6. Step 6: Final answer
    x = 564,742.71

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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.