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Finding the Fourth Proportional to 288,553.77, 398,203.11 and 161,229.33

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Solution

The fourth proportional to 288,553.77, 398,203.11 and 161,229.33 is: 222,495.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,553.77 : 398,203.11 = 161,229.33 : x
  2. Step 2: Convert to fraction form
    288,553.77/398,203.11 = 161,229.33/x
  3. Step 3: Cross multiply
    288,553.77x = 398,203.11 × 161,229.33
  4. Step 4: Simplify right side
    288,553.77x = 64,202,020,629.22
  5. Step 5: Solve for x
    x = 64,202,020,629.22/288,553.77
  6. Step 6: Final answer
    x = 222,495.86

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1.5x scale

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.