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Finding the Fourth Proportional to 288,579.68, 398,241.96 and 161,260.64

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Solution

The fourth proportional to 288,579.68, 398,241.96 and 161,260.64 is: 222,540.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,579.68 : 398,241.96 = 161,260.64 : x
  2. Step 2: Convert to fraction form
    288,579.68/398,241.96 = 161,260.64/x
  3. Step 3: Cross multiply
    288,579.68x = 398,241.96 × 161,260.64
  4. Step 4: Simplify right side
    288,579.68x = 64,220,753,344.45
  5. Step 5: Solve for x
    x = 64,220,753,344.45/288,579.68
  6. Step 6: Final answer
    x = 222,540.80

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Why These Related Problems?

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