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Finding the Fourth Proportional to 270,040.29, 404,680.13 and 206,614.86

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Solution

The fourth proportional to 270,040.29, 404,680.13 and 206,614.86 is: 309,631.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,040.29 : 404,680.13 = 206,614.86 : x
  2. Step 2: Convert to fraction form
    270,040.29/404,680.13 = 206,614.86/x
  3. Step 3: Cross multiply
    270,040.29x = 404,680.13 × 206,614.86
  4. Step 4: Simplify right side
    270,040.29x = 83,612,928,404.73
  5. Step 5: Solve for x
    x = 83,612,928,404.73/270,040.29
  6. Step 6: Final answer
    x = 309,631.31

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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.