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Finding the Fourth Proportional to 375,791.52, 518,625 and 206,058.72

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Solution

The fourth proportional to 375,791.52, 518,625 and 206,058.72 is: 284,378.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,791.52 : 518,625 = 206,058.72 : x
  2. Step 2: Convert to fraction form
    375,791.52/518,625 = 206,058.72/x
  3. Step 3: Cross multiply
    375,791.52x = 518,625 × 206,058.72
  4. Step 4: Simplify right side
    375,791.52x = 106,867,203,660
  5. Step 5: Solve for x
    x = 106,867,203,660/375,791.52
  6. Step 6: Final answer
    x = 284,378.97

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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.