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Finding the Fourth Proportional to 288,520.56, 398,151 and 161,196.96

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Solution

The fourth proportional to 288,520.56, 398,151 and 161,196.96 is: 222,447.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,520.56 : 398,151 = 161,196.96 : x
  2. Step 2: Convert to fraction form
    288,520.56/398,151 = 161,196.96/x
  3. Step 3: Cross multiply
    288,520.56x = 398,151 × 161,196.96
  4. Step 4: Simplify right side
    288,520.56x = 64,180,730,820.96
  5. Step 5: Solve for x
    x = 64,180,730,820.96/288,520.56
  6. Step 6: Final answer
    x = 222,447.69

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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.