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Finding the Fourth Proportional to 288,195.96, 397,708.89 and 167,366.96

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Solution

The fourth proportional to 288,195.96, 397,708.89 and 167,366.96 is: 230,965.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,195.96 : 397,708.89 = 167,366.96 : x
  2. Step 2: Convert to fraction form
    288,195.96/397,708.89 = 167,366.96/x
  3. Step 3: Cross multiply
    288,195.96x = 397,708.89 × 167,366.96
  4. Step 4: Simplify right side
    288,195.96x = 66,563,325,895.73
  5. Step 5: Solve for x
    x = 66,563,325,895.73/288,195.96
  6. Step 6: Final answer
    x = 230,965.51

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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.