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Finding the Fourth Proportional to 283,528.40, 391,006.38 and 206,926.17

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Solution

The fourth proportional to 283,528.40, 391,006.38 and 206,926.17 is: 285,366.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,528.40 : 391,006.38 = 206,926.17 : x
  2. Step 2: Convert to fraction form
    283,528.40/391,006.38 = 206,926.17/x
  3. Step 3: Cross multiply
    283,528.40x = 391,006.38 × 206,926.17
  4. Step 4: Simplify right side
    283,528.40x = 80,909,451,685.70
  5. Step 5: Solve for x
    x = 80,909,451,685.70/283,528.40
  6. Step 6: Final answer
    x = 285,366.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.