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Finding the Fourth Proportional to 397,902.22, 596,854.14 and 327,633.92

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Solution

The fourth proportional to 397,902.22, 596,854.14 and 327,633.92 is: 491,451.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,902.22 : 596,854.14 = 327,633.92 : x
  2. Step 2: Convert to fraction form
    397,902.22/596,854.14 = 327,633.92/x
  3. Step 3: Cross multiply
    397,902.22x = 596,854.14 × 327,633.92
  4. Step 4: Simplify right side
    397,902.22x = 195,549,661,556.43
  5. Step 5: Solve for x
    x = 195,549,661,556.43/397,902.22
  6. Step 6: Final answer
    x = 491,451.55

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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.