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Finding the Fourth Proportional to 312,447.12, 431,177.40 and 169,207.38

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Solution

The fourth proportional to 312,447.12, 431,177.40 and 169,207.38 is: 233,506.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,447.12 : 431,177.40 = 169,207.38 : x
  2. Step 2: Convert to fraction form
    312,447.12/431,177.40 = 169,207.38/x
  3. Step 3: Cross multiply
    312,447.12x = 431,177.40 × 169,207.38
  4. Step 4: Simplify right side
    312,447.12x = 72,958,398,169.21
  5. Step 5: Solve for x
    x = 72,958,398,169.21/312,447.12
  6. Step 6: Final answer
    x = 233,506.39

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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.