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Finding the Fourth Proportional to 392,917.24, 542,290.80 and 231,811.68

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Solution

The fourth proportional to 392,917.24, 542,290.80 and 231,811.68 is: 319,938.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,917.24 : 542,290.80 = 231,811.68 : x
  2. Step 2: Convert to fraction form
    392,917.24/542,290.80 = 231,811.68/x
  3. Step 3: Cross multiply
    392,917.24x = 542,290.80 × 231,811.68
  4. Step 4: Simplify right side
    392,917.24x = 125,709,341,396.54
  5. Step 5: Solve for x
    x = 125,709,341,396.54/392,917.24
  6. Step 6: Final answer
    x = 319,938.47

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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.