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Finding the Fourth Proportional to 313,107.39, 432,076.55 and 169,864.38

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Solution

The fourth proportional to 313,107.39, 432,076.55 and 169,864.38 is: 234,406.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,107.39 : 432,076.55 = 169,864.38 : x
  2. Step 2: Convert to fraction form
    313,107.39/432,076.55 = 169,864.38/x
  3. Step 3: Cross multiply
    313,107.39x = 432,076.55 × 169,864.38
  4. Step 4: Simplify right side
    313,107.39x = 73,394,414,428.97
  5. Step 5: Solve for x
    x = 73,394,414,428.97/313,107.39
  6. Step 6: Final answer
    x = 234,406.52

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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.