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Finding the Fourth Proportional to 396,375.91, 594,654.68 and 171,774.04

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Solution

The fourth proportional to 396,375.91, 594,654.68 and 171,774.04 is: 257,700.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,375.91 : 594,654.68 = 171,774.04 : x
  2. Step 2: Convert to fraction form
    396,375.91/594,654.68 = 171,774.04/x
  3. Step 3: Cross multiply
    396,375.91x = 594,654.68 × 171,774.04
  4. Step 4: Simplify right side
    396,375.91x = 102,146,238,060.43
  5. Step 5: Solve for x
    x = 102,146,238,060.43/396,375.91
  6. Step 6: Final answer
    x = 257,700.42

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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.