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Finding the Fourth Proportional to 409,819.92, 614,582 and 173,180.88

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Solution

The fourth proportional to 409,819.92, 614,582 and 173,180.88 is: 259,708.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,819.92 : 614,582 = 173,180.88 : x
  2. Step 2: Convert to fraction form
    409,819.92/614,582 = 173,180.88/x
  3. Step 3: Cross multiply
    409,819.92x = 614,582 × 173,180.88
  4. Step 4: Simplify right side
    409,819.92x = 106,433,851,592.16
  5. Step 5: Solve for x
    x = 106,433,851,592.16/409,819.92
  6. Step 6: Final answer
    x = 259,708.83

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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.