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Finding the Fourth Proportional to 376,542.64, 564,694.32 and 123,764.80

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Solution

The fourth proportional to 376,542.64, 564,694.32 and 123,764.80 is: 185,607.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,542.64 : 564,694.32 = 123,764.80 : x
  2. Step 2: Convert to fraction form
    376,542.64/564,694.32 = 123,764.80/x
  3. Step 3: Cross multiply
    376,542.64x = 564,694.32 × 123,764.80
  4. Step 4: Simplify right side
    376,542.64x = 69,889,279,575.94
  5. Step 5: Solve for x
    x = 69,889,279,575.94/376,542.64
  6. Step 6: Final answer
    x = 185,607.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.