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Finding the Fourth Proportional to 327,442.60, 491,163.90 and 169,719.40

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Solution

The fourth proportional to 327,442.60, 491,163.90 and 169,719.40 is: 254,579.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,442.60 : 491,163.90 = 169,719.40 : x
  2. Step 2: Convert to fraction form
    327,442.60/491,163.90 = 169,719.40/x
  3. Step 3: Cross multiply
    327,442.60x = 491,163.90 × 169,719.40
  4. Step 4: Simplify right side
    327,442.60x = 83,360,042,409.66
  5. Step 5: Solve for x
    x = 83,360,042,409.66/327,442.60
  6. Step 6: Final answer
    x = 254,579.10

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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.