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Finding the Fourth Proportional to 327,948.33, 491,978.70 and 150,470.58

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Solution

The fourth proportional to 327,948.33, 491,978.70 and 150,470.58 is: 225,731.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,948.33 : 491,978.70 = 150,470.58 : x
  2. Step 2: Convert to fraction form
    327,948.33/491,978.70 = 150,470.58/x
  3. Step 3: Cross multiply
    327,948.33x = 491,978.70 × 150,470.58
  4. Step 4: Simplify right side
    327,948.33x = 74,028,320,336.65
  5. Step 5: Solve for x
    x = 74,028,320,336.65/327,948.33
  6. Step 6: Final answer
    x = 225,731.66

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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.