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Finding the Fourth Proportional to 312,934.33, 431,852.07 and 169,694.38

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Solution

The fourth proportional to 312,934.33, 431,852.07 and 169,694.38 is: 234,179.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,934.33 : 431,852.07 = 169,694.38 : x
  2. Step 2: Convert to fraction form
    312,934.33/431,852.07 = 169,694.38/x
  3. Step 3: Cross multiply
    312,934.33x = 431,852.07 × 169,694.38
  4. Step 4: Simplify right side
    312,934.33x = 73,282,867,111.11
  5. Step 5: Solve for x
    x = 73,282,867,111.11/312,934.33
  6. Step 6: Final answer
    x = 234,179.70

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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.