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Finding the Fourth Proportional to 360,296.28, 497,158.05 and 205,251.65

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Solution

The fourth proportional to 360,296.28, 497,158.05 and 205,251.65 is: 283,218.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,296.28 : 497,158.05 = 205,251.65 : x
  2. Step 2: Convert to fraction form
    360,296.28/497,158.05 = 205,251.65/x
  3. Step 3: Cross multiply
    360,296.28x = 497,158.05 × 205,251.65
  4. Step 4: Simplify right side
    360,296.28x = 102,042,510,221.53
  5. Step 5: Solve for x
    x = 102,042,510,221.53/360,296.28
  6. Step 6: Final answer
    x = 283,218.33

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