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Finding the Fourth Proportional to 322,058.77, 444,495.78 and 186,171.49

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Solution

The fourth proportional to 322,058.77, 444,495.78 and 186,171.49 is: 256,948.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,058.77 : 444,495.78 = 186,171.49 : x
  2. Step 2: Convert to fraction form
    322,058.77/444,495.78 = 186,171.49/x
  3. Step 3: Cross multiply
    322,058.77x = 444,495.78 × 186,171.49
  4. Step 4: Simplify right side
    322,058.77x = 82,752,442,258.27
  5. Step 5: Solve for x
    x = 82,752,442,258.27/322,058.77
  6. Step 6: Final answer
    x = 256,948.26

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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.