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Finding the Fourth Proportional to 302,418.97, 417,338.22 and 166,462.59

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Solution

The fourth proportional to 302,418.97, 417,338.22 and 166,462.59 is: 229,718.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,418.97 : 417,338.22 = 166,462.59 : x
  2. Step 2: Convert to fraction form
    302,418.97/417,338.22 = 166,462.59/x
  3. Step 3: Cross multiply
    302,418.97x = 417,338.22 × 166,462.59
  4. Step 4: Simplify right side
    302,418.97x = 69,471,203,196.44
  5. Step 5: Solve for x
    x = 69,471,203,196.44/302,418.97
  6. Step 6: Final answer
    x = 229,718.41

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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.