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Finding the Fourth Proportional to 288,521.56, 398,152.38 and 161,197.96

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Solution

The fourth proportional to 288,521.56, 398,152.38 and 161,197.96 is: 222,449.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,521.56 : 398,152.38 = 161,197.96 : x
  2. Step 2: Convert to fraction form
    288,521.56/398,152.38 = 161,197.96/x
  3. Step 3: Cross multiply
    288,521.56x = 398,152.38 × 161,197.96
  4. Step 4: Simplify right side
    288,521.56x = 64,181,351,425.14
  5. Step 5: Solve for x
    x = 64,181,351,425.14/288,521.56
  6. Step 6: Final answer
    x = 222,449.07

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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.