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Finding the Fourth Proportional to 361,952.46, 499,494.19 and 198,610.03

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Solution

The fourth proportional to 361,952.46, 499,494.19 and 198,610.03 is: 274,081.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,952.46 : 499,494.19 = 198,610.03 : x
  2. Step 2: Convert to fraction form
    361,952.46/499,494.19 = 198,610.03/x
  3. Step 3: Cross multiply
    361,952.46x = 499,494.19 × 198,610.03
  4. Step 4: Simplify right side
    361,952.46x = 99,204,556,060.73
  5. Step 5: Solve for x
    x = 99,204,556,060.73/361,952.46
  6. Step 6: Final answer
    x = 274,081.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.