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Finding the Fourth Proportional to 322,736.87, 483,662.42 and 204,196

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Solution

The fourth proportional to 322,736.87, 483,662.42 and 204,196 is: 306,013.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,736.87 : 483,662.42 = 204,196 : x
  2. Step 2: Convert to fraction form
    322,736.87/483,662.42 = 204,196/x
  3. Step 3: Cross multiply
    322,736.87x = 483,662.42 × 204,196
  4. Step 4: Simplify right side
    322,736.87x = 98,761,930,493.34
  5. Step 5: Solve for x
    x = 98,761,930,493.34/322,736.87
  6. Step 6: Final answer
    x = 306,013.79

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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.