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Finding the Fourth Proportional to 295,959.20, 408,399 and 166,890.44

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Solution

The fourth proportional to 295,959.20, 408,399 and 166,890.44 is: 230,294.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,959.20 : 408,399 = 166,890.44 : x
  2. Step 2: Convert to fraction form
    295,959.20/408,399 = 166,890.44/x
  3. Step 3: Cross multiply
    295,959.20x = 408,399 × 166,890.44
  4. Step 4: Simplify right side
    295,959.20x = 68,157,888,805.56
  5. Step 5: Solve for x
    x = 68,157,888,805.56/295,959.20
  6. Step 6: Final answer
    x = 230,294.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.