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Finding the Fourth Proportional to 302,517.43, 417,458.19 and 166,524.82

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Solution

The fourth proportional to 302,517.43, 417,458.19 and 166,524.82 is: 229,795.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,517.43 : 417,458.19 = 166,524.82 : x
  2. Step 2: Convert to fraction form
    302,517.43/417,458.19 = 166,524.82/x
  3. Step 3: Cross multiply
    302,517.43x = 417,458.19 × 166,524.82
  4. Step 4: Simplify right side
    302,517.43x = 69,517,149,947.28
  5. Step 5: Solve for x
    x = 69,517,149,947.28/302,517.43
  6. Step 6: Final answer
    x = 229,795.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.