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Finding the Fourth Proportional to 282,347.64, 389,593.77 and 161,469.48

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Solution

The fourth proportional to 282,347.64, 389,593.77 and 161,469.48 is: 222,801.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,347.64 : 389,593.77 = 161,469.48 : x
  2. Step 2: Convert to fraction form
    282,347.64/389,593.77 = 161,469.48/x
  3. Step 3: Cross multiply
    282,347.64x = 389,593.77 × 161,469.48
  4. Step 4: Simplify right side
    282,347.64x = 62,907,503,453.14
  5. Step 5: Solve for x
    x = 62,907,503,453.14/282,347.64
  6. Step 6: Final answer
    x = 222,801.59

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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.