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Finding the Fourth Proportional to 322,745.14, 445,082.59 and 206,495.39

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Solution

The fourth proportional to 322,745.14, 445,082.59 and 206,495.39 is: 284,768.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,745.14 : 445,082.59 = 206,495.39 : x
  2. Step 2: Convert to fraction form
    322,745.14/445,082.59 = 206,495.39/x
  3. Step 3: Cross multiply
    322,745.14x = 445,082.59 × 206,495.39
  4. Step 4: Simplify right side
    322,745.14x = 91,907,503,004.26
  5. Step 5: Solve for x
    x = 91,907,503,004.26/322,745.14
  6. Step 6: Final answer
    x = 284,768.05

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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.