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Finding the Fourth Proportional to 288,251.16, 397,770.10 and 160,934.84

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Solution

The fourth proportional to 288,251.16, 397,770.10 and 160,934.84 is: 222,080.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,251.16 : 397,770.10 = 160,934.84 : x
  2. Step 2: Convert to fraction form
    288,251.16/397,770.10 = 160,934.84/x
  3. Step 3: Cross multiply
    288,251.16x = 397,770.10 × 160,934.84
  4. Step 4: Simplify right side
    288,251.16x = 64,015,067,400.28
  5. Step 5: Solve for x
    x = 64,015,067,400.28/288,251.16
  6. Step 6: Final answer
    x = 222,080.87

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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.