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Finding the Fourth Proportional to 288,593.24, 398,258.03 and 161,268.84

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Solution

The fourth proportional to 288,593.24, 398,258.03 and 161,268.84 is: 222,550.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,593.24 : 398,258.03 = 161,268.84 : x
  2. Step 2: Convert to fraction form
    288,593.24/398,258.03 = 161,268.84/x
  3. Step 3: Cross multiply
    288,593.24x = 398,258.03 × 161,268.84
  4. Step 4: Simplify right side
    288,593.24x = 64,226,610,921.96
  5. Step 5: Solve for x
    x = 64,226,610,921.96/288,593.24
  6. Step 6: Final answer
    x = 222,550.65

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