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Finding the Fourth Proportional to 647,074.29, 970,613.94 and 197,793.41

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Solution

The fourth proportional to 647,074.29, 970,613.94 and 197,793.41 is: 296,690.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,074.29 : 970,613.94 = 197,793.41 : x
  2. Step 2: Convert to fraction form
    647,074.29/970,613.94 = 197,793.41/x
  3. Step 3: Cross multiply
    647,074.29x = 970,613.94 × 197,793.41
  4. Step 4: Simplify right side
    647,074.29x = 191,981,039,997.17
  5. Step 5: Solve for x
    x = 191,981,039,997.17/647,074.29
  6. Step 6: Final answer
    x = 296,690.88

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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.