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Finding the Fourth Proportional to 392,906.76, 542,276.56 and 231,801.42

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Solution

The fourth proportional to 392,906.76, 542,276.56 and 231,801.42 is: 319,924.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,906.76 : 542,276.56 = 231,801.42 : x
  2. Step 2: Convert to fraction form
    392,906.76/542,276.56 = 231,801.42/x
  3. Step 3: Cross multiply
    392,906.76x = 542,276.56 × 231,801.42
  4. Step 4: Simplify right side
    392,906.76x = 125,700,476,640.72
  5. Step 5: Solve for x
    x = 125,700,476,640.72/392,906.76
  6. Step 6: Final answer
    x = 319,924.44

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1.5x scale

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.