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Finding the Fourth Proportional to 392,926.38, 542,303.91 and 231,821.34

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Solution

The fourth proportional to 392,926.38, 542,303.91 and 231,821.34 is: 319,952.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,926.38 : 542,303.91 = 231,821.34 : x
  2. Step 2: Convert to fraction form
    392,926.38/542,303.91 = 231,821.34/x
  3. Step 3: Cross multiply
    392,926.38x = 542,303.91 × 231,821.34
  4. Step 4: Simplify right side
    392,926.38x = 125,717,619,103.44
  5. Step 5: Solve for x
    x = 125,717,619,103.44/392,926.38
  6. Step 6: Final answer
    x = 319,952.10

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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.