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Finding the Fourth Proportional to 392,916.38, 542,290.11 and 231,811.34

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Solution

The fourth proportional to 392,916.38, 542,290.11 and 231,811.34 is: 319,938.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,916.38 : 542,290.11 = 231,811.34 : x
  2. Step 2: Convert to fraction form
    392,916.38/542,290.11 = 231,811.34/x
  3. Step 3: Cross multiply
    392,916.38x = 542,290.11 × 231,811.34
  4. Step 4: Simplify right side
    392,916.38x = 125,708,997,067.85
  5. Step 5: Solve for x
    x = 125,708,997,067.85/392,916.38
  6. Step 6: Final answer
    x = 319,938.30

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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.