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Finding the Fourth Proportional to 409,793.90, 614,340.18 and 157,255.61

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Solution

The fourth proportional to 409,793.90, 614,340.18 and 157,255.61 is: 235,748.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,793.90 : 614,340.18 = 157,255.61 : x
  2. Step 2: Convert to fraction form
    409,793.90/614,340.18 = 157,255.61/x
  3. Step 3: Cross multiply
    409,793.90x = 614,340.18 × 157,255.61
  4. Step 4: Simplify right side
    409,793.90x = 96,608,436,681.71
  5. Step 5: Solve for x
    x = 96,608,436,681.71/409,793.90
  6. Step 6: Final answer
    x = 235,748.84

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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.