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Finding the Fourth Proportional to 288,589.20, 398,252.16 and 161,264.76

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Solution

The fourth proportional to 288,589.20, 398,252.16 and 161,264.76 is: 222,544.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,589.20 : 398,252.16 = 161,264.76 : x
  2. Step 2: Convert to fraction form
    288,589.20/398,252.16 = 161,264.76/x
  3. Step 3: Cross multiply
    288,589.20x = 398,252.16 × 161,264.76
  4. Step 4: Simplify right side
    288,589.20x = 64,224,039,001.88
  5. Step 5: Solve for x
    x = 64,224,039,001.88/288,589.20
  6. Step 6: Final answer
    x = 222,544.85

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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.