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Finding the Fourth Proportional to 409,899.60, 614,949.42 and 157,175.55

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Solution

The fourth proportional to 409,899.60, 614,949.42 and 157,175.55 is: 235,801.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,899.60 : 614,949.42 = 157,175.55 : x
  2. Step 2: Convert to fraction form
    409,899.60/614,949.42 = 157,175.55/x
  3. Step 3: Cross multiply
    409,899.60x = 614,949.42 × 157,175.55
  4. Step 4: Simplify right side
    409,899.60x = 96,655,013,310.68
  5. Step 5: Solve for x
    x = 96,655,013,310.68/409,899.60
  6. Step 6: Final answer
    x = 235,801.68

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1.5x scale

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.