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Finding the Fourth Proportional to 312,438.09, 431,164.98 and 169,198.38

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Solution

The fourth proportional to 312,438.09, 431,164.98 and 169,198.38 is: 233,493.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,438.09 : 431,164.98 = 169,198.38 : x
  2. Step 2: Convert to fraction form
    312,438.09/431,164.98 = 169,198.38/x
  3. Step 3: Cross multiply
    312,438.09x = 431,164.98 × 169,198.38
  4. Step 4: Simplify right side
    312,438.09x = 72,952,416,128.73
  5. Step 5: Solve for x
    x = 72,952,416,128.73/312,438.09
  6. Step 6: Final answer
    x = 233,493.99

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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.