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Finding the Fourth Proportional to 288,517.76, 398,147.16 and 161,194.30

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Solution

The fourth proportional to 288,517.76, 398,147.16 and 161,194.30 is: 222,444.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,517.76 : 398,147.16 = 161,194.30 : x
  2. Step 2: Convert to fraction form
    288,517.76/398,147.16 = 161,194.30/x
  3. Step 3: Cross multiply
    288,517.76x = 398,147.16 × 161,194.30
  4. Step 4: Simplify right side
    288,517.76x = 64,179,052,753.19
  5. Step 5: Solve for x
    x = 64,179,052,753.19/288,517.76
  6. Step 6: Final answer
    x = 222,444.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.