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Finding the Fourth Proportional to 392,909.24, 542,279.76 and 231,803.66

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Solution

The fourth proportional to 392,909.24, 542,279.76 and 231,803.66 is: 319,927.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,909.24 : 542,279.76 = 231,803.66 : x
  2. Step 2: Convert to fraction form
    392,909.24/542,279.76 = 231,803.66/x
  3. Step 3: Cross multiply
    392,909.24x = 542,279.76 × 231,803.66
  4. Step 4: Simplify right side
    392,909.24x = 125,702,433,111.92
  5. Step 5: Solve for x
    x = 125,702,433,111.92/392,909.24
  6. Step 6: Final answer
    x = 319,927.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.