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Finding the Fourth Proportional to 392,917.38, 542,291.49 and 231,812.34

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Solution

The fourth proportional to 392,917.38, 542,291.49 and 231,812.34 is: 319,939.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,917.38 : 542,291.49 = 231,812.34 : x
  2. Step 2: Convert to fraction form
    392,917.38/542,291.49 = 231,812.34/x
  3. Step 3: Cross multiply
    392,917.38x = 542,291.49 × 231,812.34
  4. Step 4: Simplify right side
    392,917.38x = 125,709,859,258.99
  5. Step 5: Solve for x
    x = 125,709,859,258.99/392,917.38
  6. Step 6: Final answer
    x = 319,939.68

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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.