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Finding the Fourth Proportional to 327,948.36, 491,978.64 and 150,470.64

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Solution

The fourth proportional to 327,948.36, 491,978.64 and 150,470.64 is: 225,731.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,948.36 : 491,978.64 = 150,470.64 : x
  2. Step 2: Convert to fraction form
    327,948.36/491,978.64 = 150,470.64/x
  3. Step 3: Cross multiply
    327,948.36x = 491,978.64 × 150,470.64
  4. Step 4: Simplify right side
    327,948.36x = 74,028,340,827.13
  5. Step 5: Solve for x
    x = 74,028,340,827.13/327,948.36
  6. Step 6: Final answer
    x = 225,731.70

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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.