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Finding the Fourth Proportional to 397,008.92, 595,178.57 and 172,200.03

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Solution

The fourth proportional to 397,008.92, 595,178.57 and 172,200.03 is: 258,154.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,008.92 : 595,178.57 = 172,200.03 : x
  2. Step 2: Convert to fraction form
    397,008.92/595,178.57 = 172,200.03/x
  3. Step 3: Cross multiply
    397,008.92x = 595,178.57 × 172,200.03
  4. Step 4: Simplify right side
    397,008.92x = 102,489,766,748.36
  5. Step 5: Solve for x
    x = 102,489,766,748.36/397,008.92
  6. Step 6: Final answer
    x = 258,154.82

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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.