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Finding the Fourth Proportional to 322,004.33, 483,008.16 and 188,791.17

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Solution

The fourth proportional to 322,004.33, 483,008.16 and 188,791.17 is: 283,187.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,004.33 : 483,008.16 = 188,791.17 : x
  2. Step 2: Convert to fraction form
    322,004.33/483,008.16 = 188,791.17/x
  3. Step 3: Cross multiply
    322,004.33x = 483,008.16 × 188,791.17
  4. Step 4: Simplify right side
    322,004.33x = 91,187,675,645.95
  5. Step 5: Solve for x
    x = 91,187,675,645.95/322,004.33
  6. Step 6: Final answer
    x = 283,187.73

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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.