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Finding the Fourth Proportional to 539,909.38, 745,080.57 and 298,198.12

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Solution

The fourth proportional to 539,909.38, 745,080.57 and 298,198.12 is: 411,516.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,909.38 : 745,080.57 = 298,198.12 : x
  2. Step 2: Convert to fraction form
    539,909.38/745,080.57 = 298,198.12/x
  3. Step 3: Cross multiply
    539,909.38x = 745,080.57 × 298,198.12
  4. Step 4: Simplify right side
    539,909.38x = 222,181,625,222.53
  5. Step 5: Solve for x
    x = 222,181,625,222.53/539,909.38
  6. Step 6: Final answer
    x = 411,516.51

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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.