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Finding the Fourth Proportional to 409,650.78, 614,053.95 and 156,862.20

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Solution

The fourth proportional to 409,650.78, 614,053.95 and 156,862.20 is: 235,131.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,650.78 : 614,053.95 = 156,862.20 : x
  2. Step 2: Convert to fraction form
    409,650.78/614,053.95 = 156,862.20/x
  3. Step 3: Cross multiply
    409,650.78x = 614,053.95 × 156,862.20
  4. Step 4: Simplify right side
    409,650.78x = 96,321,853,515.69
  5. Step 5: Solve for x
    x = 96,321,853,515.69/409,650.78
  6. Step 6: Final answer
    x = 235,131.62

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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.