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Finding the Fourth Proportional to 396,998.76, 595,496.70 and 172,329.87

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Solution

The fourth proportional to 396,998.76, 595,496.70 and 172,329.87 is: 258,494.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,998.76 : 595,496.70 = 172,329.87 : x
  2. Step 2: Convert to fraction form
    396,998.76/595,496.70 = 172,329.87/x
  3. Step 3: Cross multiply
    396,998.76x = 595,496.70 × 172,329.87
  4. Step 4: Simplify right side
    396,998.76x = 102,621,868,896.43
  5. Step 5: Solve for x
    x = 102,621,868,896.43/396,998.76
  6. Step 6: Final answer
    x = 258,494.18

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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.