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Finding the Fourth Proportional to 731,521, 1,096,285.20 and 411,825.34

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Solution

The fourth proportional to 731,521, 1,096,285.20 and 411,825.34 is: 617,177.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,521 : 1,096,285.20 = 411,825.34 : x
  2. Step 2: Convert to fraction form
    731,521/1,096,285.20 = 411,825.34/x
  3. Step 3: Cross multiply
    731,521x = 1,096,285.20 × 411,825.34
  4. Step 4: Simplify right side
    731,521x = 451,478,025,226.97
  5. Step 5: Solve for x
    x = 451,478,025,226.97/731,521
  6. Step 6: Final answer
    x = 617,177.12

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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.