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Finding the Fourth Proportional to 327,579.92, 490,457.46 and 167,308.82

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Solution

The fourth proportional to 327,579.92, 490,457.46 and 167,308.82 is: 250,497.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,579.92 : 490,457.46 = 167,308.82 : x
  2. Step 2: Convert to fraction form
    327,579.92/490,457.46 = 167,308.82/x
  3. Step 3: Cross multiply
    327,579.92x = 490,457.46 × 167,308.82
  4. Step 4: Simplify right side
    327,579.92x = 82,057,858,892.80
  5. Step 5: Solve for x
    x = 82,057,858,892.80/327,579.92
  6. Step 6: Final answer
    x = 250,497.22

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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.