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Finding the Fourth Proportional to 396,995.76, 595,492.20 and 172,326.87

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Solution

The fourth proportional to 396,995.76, 595,492.20 and 172,326.87 is: 258,489.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,995.76 : 595,492.20 = 172,326.87 : x
  2. Step 2: Convert to fraction form
    396,995.76/595,492.20 = 172,326.87/x
  3. Step 3: Cross multiply
    396,995.76x = 595,492.20 × 172,326.87
  4. Step 4: Simplify right side
    396,995.76x = 102,619,306,935.41
  5. Step 5: Solve for x
    x = 102,619,306,935.41/396,995.76
  6. Step 6: Final answer
    x = 258,489.68

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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.