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Finding the Fourth Proportional to 363,013.60, 543,224.40 and 229,957.60

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Solution

The fourth proportional to 363,013.60, 543,224.40 and 229,957.60 is: 344,115.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,013.60 : 543,224.40 = 229,957.60 : x
  2. Step 2: Convert to fraction form
    363,013.60/543,224.40 = 229,957.60/x
  3. Step 3: Cross multiply
    363,013.60x = 543,224.40 × 229,957.60
  4. Step 4: Simplify right side
    363,013.60x = 124,918,579,285.44
  5. Step 5: Solve for x
    x = 124,918,579,285.44/363,013.60
  6. Step 6: Final answer
    x = 344,115.43

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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.