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Finding the Fourth Proportional to 288,724.02, 398,451.51 and 161,399.58

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Solution

The fourth proportional to 288,724.02, 398,451.51 and 161,399.58 is: 222,738.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,724.02 : 398,451.51 = 161,399.58 : x
  2. Step 2: Convert to fraction form
    288,724.02/398,451.51 = 161,399.58/x
  3. Step 3: Cross multiply
    288,724.02x = 398,451.51 × 161,399.58
  4. Step 4: Simplify right side
    288,724.02x = 64,309,906,364.37
  5. Step 5: Solve for x
    x = 64,309,906,364.37/288,724.02
  6. Step 6: Final answer
    x = 222,738.33

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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.