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Finding the Fourth Proportional to 288,198.92, 397,712.96 and 167,369.88

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Solution

The fourth proportional to 288,198.92, 397,712.96 and 167,369.88 is: 230,969.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,198.92 : 397,712.96 = 167,369.88 : x
  2. Step 2: Convert to fraction form
    288,198.92/397,712.96 = 167,369.88/x
  3. Step 3: Cross multiply
    288,198.92x = 397,712.96 × 167,369.88
  4. Step 4: Simplify right side
    288,198.92x = 66,565,170,389.64
  5. Step 5: Solve for x
    x = 66,565,170,389.64/288,198.92
  6. Step 6: Final answer
    x = 230,969.53

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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.