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Finding the Fourth Proportional to 534,989.87, 801,982.44 and 179,755.46

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Solution

The fourth proportional to 534,989.87, 801,982.44 and 179,755.46 is: 269,464.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,989.87 : 801,982.44 = 179,755.46 : x
  2. Step 2: Convert to fraction form
    534,989.87/801,982.44 = 179,755.46/x
  3. Step 3: Cross multiply
    534,989.87x = 801,982.44 × 179,755.46
  4. Step 4: Simplify right side
    534,989.87x = 144,160,718,404.21
  5. Step 5: Solve for x
    x = 144,160,718,404.21/534,989.87
  6. Step 6: Final answer
    x = 269,464.39

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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.