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Finding the Fourth Proportional to 312,952.80, 431,871.09 and 169,711.19

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Solution

The fourth proportional to 312,952.80, 431,871.09 and 169,711.19 is: 234,199.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,952.80 : 431,871.09 = 169,711.19 : x
  2. Step 2: Convert to fraction form
    312,952.80/431,871.09 = 169,711.19/x
  3. Step 3: Cross multiply
    312,952.80x = 431,871.09 × 169,711.19
  4. Step 4: Simplify right side
    312,952.80x = 73,293,354,451.14
  5. Step 5: Solve for x
    x = 73,293,354,451.14/312,952.80
  6. Step 6: Final answer
    x = 234,199.39

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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.