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Finding the Fourth Proportional to 647,118.20, 970,677.30 and 532,956.80

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Solution

The fourth proportional to 647,118.20, 970,677.30 and 532,956.80 is: 799,435.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,118.20 : 970,677.30 = 532,956.80 : x
  2. Step 2: Convert to fraction form
    647,118.20/970,677.30 = 532,956.80/x
  3. Step 3: Cross multiply
    647,118.20x = 970,677.30 × 532,956.80
  4. Step 4: Simplify right side
    647,118.20x = 517,329,067,640.64
  5. Step 5: Solve for x
    x = 517,329,067,640.64/647,118.20
  6. Step 6: Final answer
    x = 799,435.20

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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.