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Finding the Fourth Proportional to 288,558.25, 398,202.96 and 161,234.89

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Solution

The fourth proportional to 288,558.25, 398,202.96 and 161,234.89 is: 222,500.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,558.25 : 398,202.96 = 161,234.89 : x
  2. Step 2: Convert to fraction form
    288,558.25/398,202.96 = 161,234.89/x
  3. Step 3: Cross multiply
    288,558.25x = 398,202.96 × 161,234.89
  4. Step 4: Simplify right side
    288,558.25x = 64,204,210,453.27
  5. Step 5: Solve for x
    x = 64,204,210,453.27/288,558.25
  6. Step 6: Final answer
    x = 222,500.00

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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.