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Finding the Fourth Proportional to 363,964.44, 546,253.38 and 153,753.24

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Solution

The fourth proportional to 363,964.44, 546,253.38 and 153,753.24 is: 230,759.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,964.44 : 546,253.38 = 153,753.24 : x
  2. Step 2: Convert to fraction form
    363,964.44/546,253.38 = 153,753.24/x
  3. Step 3: Cross multiply
    363,964.44x = 546,253.38 × 153,753.24
  4. Step 4: Simplify right side
    363,964.44x = 83,988,227,035.95
  5. Step 5: Solve for x
    x = 83,988,227,035.95/363,964.44
  6. Step 6: Final answer
    x = 230,759.43

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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.