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Finding the Fourth Proportional to 431,493.68, 647,398.31 and 200,792.67

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Solution

The fourth proportional to 431,493.68, 647,398.31 and 200,792.67 is: 301,262.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,493.68 : 647,398.31 = 200,792.67 : x
  2. Step 2: Convert to fraction form
    431,493.68/647,398.31 = 200,792.67/x
  3. Step 3: Cross multiply
    431,493.68x = 647,398.31 × 200,792.67
  4. Step 4: Simplify right side
    431,493.68x = 129,992,834,214.42
  5. Step 5: Solve for x
    x = 129,992,834,214.42/431,493.68
  6. Step 6: Final answer
    x = 301,262.43

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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.