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Finding the Fourth Proportional to 269,446.20, 404,169.30 and 209,959.80

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Solution

The fourth proportional to 269,446.20, 404,169.30 and 209,959.80 is: 314,939.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,446.20 : 404,169.30 = 209,959.80 : x
  2. Step 2: Convert to fraction form
    269,446.20/404,169.30 = 209,959.80/x
  3. Step 3: Cross multiply
    269,446.20x = 404,169.30 × 209,959.80
  4. Step 4: Simplify right side
    269,446.20x = 84,859,305,394.14
  5. Step 5: Solve for x
    x = 84,859,305,394.14/269,446.20
  6. Step 6: Final answer
    x = 314,939.70

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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.