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Finding the Fourth Proportional to 322,149.62, 444,788.82 and 201,345.14

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Solution

The fourth proportional to 322,149.62, 444,788.82 and 201,345.14 is: 277,995.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,149.62 : 444,788.82 = 201,345.14 : x
  2. Step 2: Convert to fraction form
    322,149.62/444,788.82 = 201,345.14/x
  3. Step 3: Cross multiply
    322,149.62x = 444,788.82 × 201,345.14
  4. Step 4: Simplify right side
    322,149.62x = 89,556,067,233.33
  5. Step 5: Solve for x
    x = 89,556,067,233.33/322,149.62
  6. Step 6: Final answer
    x = 277,995.26

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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.