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Finding the Fourth Proportional to 360,638.40, 541,006.80 and 150,227.13

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Solution

The fourth proportional to 360,638.40, 541,006.80 and 150,227.13 is: 225,361.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,638.40 : 541,006.80 = 150,227.13 : x
  2. Step 2: Convert to fraction form
    360,638.40/541,006.80 = 150,227.13/x
  3. Step 3: Cross multiply
    360,638.40x = 541,006.80 × 150,227.13
  4. Step 4: Simplify right side
    360,638.40x = 81,273,898,874.48
  5. Step 5: Solve for x
    x = 81,273,898,874.48/360,638.40
  6. Step 6: Final answer
    x = 225,361.19

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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.