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Finding the Fourth Proportional to 392,358.54, 541,472.59 and 231,220.38

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Solution

The fourth proportional to 392,358.54, 541,472.59 and 231,220.38 is: 319,094.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,358.54 : 541,472.59 = 231,220.38 : x
  2. Step 2: Convert to fraction form
    392,358.54/541,472.59 = 231,220.38/x
  3. Step 3: Cross multiply
    392,358.54x = 541,472.59 × 231,220.38
  4. Step 4: Simplify right side
    392,358.54x = 125,199,498,019.38
  5. Step 5: Solve for x
    x = 125,199,498,019.38/392,358.54
  6. Step 6: Final answer
    x = 319,094.62

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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.