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Finding the Fourth Proportional to 397,385.20, 596,183.40 and 172,649.20

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Solution

The fourth proportional to 397,385.20, 596,183.40 and 172,649.20 is: 259,019.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,385.20 : 596,183.40 = 172,649.20 : x
  2. Step 2: Convert to fraction form
    397,385.20/596,183.40 = 172,649.20/x
  3. Step 3: Cross multiply
    397,385.20x = 596,183.40 × 172,649.20
  4. Step 4: Simplify right side
    397,385.20x = 102,930,587,063.28
  5. Step 5: Solve for x
    x = 102,930,587,063.28/397,385.20
  6. Step 6: Final answer
    x = 259,019.68

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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.