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Finding the Fourth Proportional to 378,391.34, 567,725.43 and 176,083.97

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Solution

The fourth proportional to 378,391.34, 567,725.43 and 176,083.97 is: 264,190.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,391.34 : 567,725.43 = 176,083.97 : x
  2. Step 2: Convert to fraction form
    378,391.34/567,725.43 = 176,083.97/x
  3. Step 3: Cross multiply
    378,391.34x = 567,725.43 × 176,083.97
  4. Step 4: Simplify right side
    378,391.34x = 99,967,344,745.73
  5. Step 5: Solve for x
    x = 99,967,344,745.73/378,391.34
  6. Step 6: Final answer
    x = 264,190.36

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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.