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Finding the Fourth Proportional to 296,198.69, 408,754.22 and 167,164.65

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Solution

The fourth proportional to 296,198.69, 408,754.22 and 167,164.65 is: 230,687.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,198.69 : 408,754.22 = 167,164.65 : x
  2. Step 2: Convert to fraction form
    296,198.69/408,754.22 = 167,164.65/x
  3. Step 3: Cross multiply
    296,198.69x = 408,754.22 × 167,164.65
  4. Step 4: Simplify right side
    296,198.69x = 68,329,255,286.50
  5. Step 5: Solve for x
    x = 68,329,255,286.50/296,198.69
  6. Step 6: Final answer
    x = 230,687.23

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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.