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Finding the Fourth Proportional to 402,219.88, 603,584.16 and 224,843.40

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Solution

The fourth proportional to 402,219.88, 603,584.16 and 224,843.40 is: 337,407.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,219.88 : 603,584.16 = 224,843.40 : x
  2. Step 2: Convert to fraction form
    402,219.88/603,584.16 = 224,843.40/x
  3. Step 3: Cross multiply
    402,219.88x = 603,584.16 × 224,843.40
  4. Step 4: Simplify right side
    402,219.88x = 135,711,914,720.54
  5. Step 5: Solve for x
    x = 135,711,914,720.54/402,219.88
  6. Step 6: Final answer
    x = 337,407.28

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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.