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Finding the Fourth Proportional to 288,851.24, 398,619.96 and 161,524.10

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Solution

The fourth proportional to 288,851.24, 398,619.96 and 161,524.10 is: 222,906.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,851.24 : 398,619.96 = 161,524.10 : x
  2. Step 2: Convert to fraction form
    288,851.24/398,619.96 = 161,524.10/x
  3. Step 3: Cross multiply
    288,851.24x = 398,619.96 × 161,524.10
  4. Step 4: Simplify right side
    288,851.24x = 64,386,730,281.04
  5. Step 5: Solve for x
    x = 64,386,730,281.04/288,851.24
  6. Step 6: Final answer
    x = 222,906.19

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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.