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Finding the Fourth Proportional to 392,519.80, 541,646.44 and 222,753.88

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Solution

The fourth proportional to 392,519.80, 541,646.44 and 222,753.88 is: 307,382.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,519.80 : 541,646.44 = 222,753.88 : x
  2. Step 2: Convert to fraction form
    392,519.80/541,646.44 = 222,753.88/x
  3. Step 3: Cross multiply
    392,519.80x = 541,646.44 × 222,753.88
  4. Step 4: Simplify right side
    392,519.80x = 120,653,846,098.19
  5. Step 5: Solve for x
    x = 120,653,846,098.19/392,519.80
  6. Step 6: Final answer
    x = 307,382.83

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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.