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Finding the Fourth Proportional to 393,176.88, 542,581.20 and 232,032.24

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Solution

The fourth proportional to 393,176.88, 542,581.20 and 232,032.24 is: 320,202.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,176.88 : 542,581.20 = 232,032.24 : x
  2. Step 2: Convert to fraction form
    393,176.88/542,581.20 = 232,032.24/x
  3. Step 3: Cross multiply
    393,176.88x = 542,581.20 × 232,032.24
  4. Step 4: Simplify right side
    393,176.88x = 125,896,331,217.89
  5. Step 5: Solve for x
    x = 125,896,331,217.89/393,176.88
  6. Step 6: Final answer
    x = 320,202.78

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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.