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Finding the Fourth Proportional to 269,483.28, 404,224.92 and 82,470.48

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Solution

The fourth proportional to 269,483.28, 404,224.92 and 82,470.48 is: 123,705.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,483.28 : 404,224.92 = 82,470.48 : x
  2. Step 2: Convert to fraction form
    269,483.28/404,224.92 = 82,470.48/x
  3. Step 3: Cross multiply
    269,483.28x = 404,224.92 × 82,470.48
  4. Step 4: Simplify right side
    269,483.28x = 33,336,623,180.36
  5. Step 5: Solve for x
    x = 33,336,623,180.36/269,483.28
  6. Step 6: Final answer
    x = 123,705.72

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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.