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Finding the Fourth Proportional to 288,621.44, 398,296.28 and 161,296.96

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Solution

The fourth proportional to 288,621.44, 398,296.28 and 161,296.96 is: 222,589.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,621.44 : 398,296.28 = 161,296.96 : x
  2. Step 2: Convert to fraction form
    288,621.44/398,296.28 = 161,296.96/x
  3. Step 3: Cross multiply
    288,621.44x = 398,296.28 × 161,296.96
  4. Step 4: Simplify right side
    288,621.44x = 64,243,979,143.31
  5. Step 5: Solve for x
    x = 64,243,979,143.31/288,621.44
  6. Step 6: Final answer
    x = 222,589.07

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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.