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Finding the Fourth Proportional to 415,864.08, 573,891.71 and 234,575.46

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Solution

The fourth proportional to 415,864.08, 573,891.71 and 234,575.46 is: 323,713.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,864.08 : 573,891.71 = 234,575.46 : x
  2. Step 2: Convert to fraction form
    415,864.08/573,891.71 = 234,575.46/x
  3. Step 3: Cross multiply
    415,864.08x = 573,891.71 × 234,575.46
  4. Step 4: Simplify right side
    415,864.08x = 134,620,910,690.56
  5. Step 5: Solve for x
    x = 134,620,910,690.56/415,864.08
  6. Step 6: Final answer
    x = 323,713.73

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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.