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Finding the Fourth Proportional to 290,446.72, 400,815.18 and 161,406.22

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Solution

The fourth proportional to 290,446.72, 400,815.18 and 161,406.22 is: 222,739.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,446.72 : 400,815.18 = 161,406.22 : x
  2. Step 2: Convert to fraction form
    290,446.72/400,815.18 = 161,406.22/x
  3. Step 3: Cross multiply
    290,446.72x = 400,815.18 × 161,406.22
  4. Step 4: Simplify right side
    290,446.72x = 64,694,063,122.42
  5. Step 5: Solve for x
    x = 64,694,063,122.42/290,446.72
  6. Step 6: Final answer
    x = 222,739.86

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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.