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Finding the Fourth Proportional to 393,970.33, 591,286.11 and 204,546.97

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Solution

The fourth proportional to 393,970.33, 591,286.11 and 204,546.97 is: 306,992.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,970.33 : 591,286.11 = 204,546.97 : x
  2. Step 2: Convert to fraction form
    393,970.33/591,286.11 = 204,546.97/x
  3. Step 3: Cross multiply
    393,970.33x = 591,286.11 × 204,546.97
  4. Step 4: Simplify right side
    393,970.33x = 120,945,782,203.59
  5. Step 5: Solve for x
    x = 120,945,782,203.59/393,970.33
  6. Step 6: Final answer
    x = 306,992.11

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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.