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Finding the Fourth Proportional to 235,723.80, 353,067.30 and 204,619.80

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Solution

The fourth proportional to 235,723.80, 353,067.30 and 204,619.80 is: 306,479.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,723.80 : 353,067.30 = 204,619.80 : x
  2. Step 2: Convert to fraction form
    235,723.80/353,067.30 = 204,619.80/x
  3. Step 3: Cross multiply
    235,723.80x = 353,067.30 × 204,619.80
  4. Step 4: Simplify right side
    235,723.80x = 72,244,560,312.54
  5. Step 5: Solve for x
    x = 72,244,560,312.54/235,723.80
  6. Step 6: Final answer
    x = 306,479.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.