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Finding the Fourth Proportional to 288,648.29, 398,354.14 and 167,789.20

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Solution

The fourth proportional to 288,648.29, 398,354.14 and 167,789.20 is: 231,560.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,648.29 : 398,354.14 = 167,789.20 : x
  2. Step 2: Convert to fraction form
    288,648.29/398,354.14 = 167,789.20/x
  3. Step 3: Cross multiply
    288,648.29x = 398,354.14 × 167,789.20
  4. Step 4: Simplify right side
    288,648.29x = 66,839,522,467.29
  5. Step 5: Solve for x
    x = 66,839,522,467.29/288,648.29
  6. Step 6: Final answer
    x = 231,560.43

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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.