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Finding the Fourth Proportional to 392,424.78, 541,649.74 and 231,387.10

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Solution

The fourth proportional to 392,424.78, 541,649.74 and 231,387.10 is: 319,375.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,424.78 : 541,649.74 = 231,387.10 : x
  2. Step 2: Convert to fraction form
    392,424.78/541,649.74 = 231,387.10/x
  3. Step 3: Cross multiply
    392,424.78x = 541,649.74 × 231,387.10
  4. Step 4: Simplify right side
    392,424.78x = 125,330,762,554.35
  5. Step 5: Solve for x
    x = 125,330,762,554.35/392,424.78
  6. Step 6: Final answer
    x = 319,375.25

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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.