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Finding the Fourth Proportional to 463,129.20, 694,596.60 and 130,627.44

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Solution

The fourth proportional to 463,129.20, 694,596.60 and 130,627.44 is: 195,913.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,129.20 : 694,596.60 = 130,627.44 : x
  2. Step 2: Convert to fraction form
    463,129.20/694,596.60 = 130,627.44/x
  3. Step 3: Cross multiply
    463,129.20x = 694,596.60 × 130,627.44
  4. Step 4: Simplify right side
    463,129.20x = 90,733,375,690.70
  5. Step 5: Solve for x
    x = 90,733,375,690.70/463,129.20
  6. Step 6: Final answer
    x = 195,913.74

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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.