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Finding the Fourth Proportional to 363,902.44, 545,952.48 and 206,241.61

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Solution

The fourth proportional to 363,902.44, 545,952.48 and 206,241.61 is: 309,418.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,902.44 : 545,952.48 = 206,241.61 : x
  2. Step 2: Convert to fraction form
    363,902.44/545,952.48 = 206,241.61/x
  3. Step 3: Cross multiply
    363,902.44x = 545,952.48 × 206,241.61
  4. Step 4: Simplify right side
    363,902.44x = 112,598,118,458.69
  5. Step 5: Solve for x
    x = 112,598,118,458.69/363,902.44
  6. Step 6: Final answer
    x = 309,418.42

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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.