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Finding the Fourth Proportional to 323,678.38, 485,517.57 and 102,062.38

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Solution

The fourth proportional to 323,678.38, 485,517.57 and 102,062.38 is: 153,093.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,678.38 : 485,517.57 = 102,062.38 : x
  2. Step 2: Convert to fraction form
    323,678.38/485,517.57 = 102,062.38/x
  3. Step 3: Cross multiply
    323,678.38x = 485,517.57 × 102,062.38
  4. Step 4: Simplify right side
    323,678.38x = 49,553,075,788.12
  5. Step 5: Solve for x
    x = 49,553,075,788.12/323,678.38
  6. Step 6: Final answer
    x = 153,093.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.