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Finding the Fourth Proportional to 324,092.40, 447,067.80 and 189,930.48

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Solution

The fourth proportional to 324,092.40, 447,067.80 and 189,930.48 is: 261,998.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,092.40 : 447,067.80 = 189,930.48 : x
  2. Step 2: Convert to fraction form
    324,092.40/447,067.80 = 189,930.48/x
  3. Step 3: Cross multiply
    324,092.40x = 447,067.80 × 189,930.48
  4. Step 4: Simplify right side
    324,092.40x = 84,911,801,846.54
  5. Step 5: Solve for x
    x = 84,911,801,846.54/324,092.40
  6. Step 6: Final answer
    x = 261,998.74

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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.