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Finding the Fourth Proportional to 269,593.60, 404,476.80 and 180,947.20

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Solution

The fourth proportional to 269,593.60, 404,476.80 and 180,947.20 is: 271,478.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,593.60 : 404,476.80 = 180,947.20 : x
  2. Step 2: Convert to fraction form
    269,593.60/404,476.80 = 180,947.20/x
  3. Step 3: Cross multiply
    269,593.60x = 404,476.80 × 180,947.20
  4. Step 4: Simplify right side
    269,593.60x = 73,188,944,424.96
  5. Step 5: Solve for x
    x = 73,188,944,424.96/269,593.60
  6. Step 6: Final answer
    x = 271,478.79

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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.