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Finding the Fourth Proportional to 360,644.59, 541,016.09 and 150,233.32

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Solution

The fourth proportional to 360,644.59, 541,016.09 and 150,233.32 is: 225,370.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,644.59 : 541,016.09 = 150,233.32 : x
  2. Step 2: Convert to fraction form
    360,644.59/541,016.09 = 150,233.32/x
  3. Step 3: Cross multiply
    360,644.59x = 541,016.09 × 150,233.32
  4. Step 4: Simplify right side
    360,644.59x = 81,278,640,669.04
  5. Step 5: Solve for x
    x = 81,278,640,669.04/360,644.59
  6. Step 6: Final answer
    x = 225,370.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.