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Finding the Fourth Proportional to 647,540.20, 971,310.30 and 204,250.60

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Solution

The fourth proportional to 647,540.20, 971,310.30 and 204,250.60 is: 306,375.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,540.20 : 971,310.30 = 204,250.60 : x
  2. Step 2: Convert to fraction form
    647,540.20/971,310.30 = 204,250.60/x
  3. Step 3: Cross multiply
    647,540.20x = 971,310.30 × 204,250.60
  4. Step 4: Simplify right side
    647,540.20x = 198,390,711,561.18
  5. Step 5: Solve for x
    x = 198,390,711,561.18/647,540.20
  6. Step 6: Final answer
    x = 306,375.90

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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.