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Finding the Fourth Proportional to 397,630.80, 596,446.20 and 173,098.80

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Solution

The fourth proportional to 397,630.80, 596,446.20 and 173,098.80 is: 259,648.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,630.80 : 596,446.20 = 173,098.80 : x
  2. Step 2: Convert to fraction form
    397,630.80/596,446.20 = 173,098.80/x
  3. Step 3: Cross multiply
    397,630.80x = 596,446.20 × 173,098.80
  4. Step 4: Simplify right side
    397,630.80x = 103,244,121,484.56
  5. Step 5: Solve for x
    x = 103,244,121,484.56/397,630.80
  6. Step 6: Final answer
    x = 259,648.20

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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.