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Finding the Fourth Proportional to 302,634.14, 417,494.76 and 195,238.64

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Solution

The fourth proportional to 302,634.14, 417,494.76 and 195,238.64 is: 269,338.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,634.14 : 417,494.76 = 195,238.64 : x
  2. Step 2: Convert to fraction form
    302,634.14/417,494.76 = 195,238.64/x
  3. Step 3: Cross multiply
    302,634.14x = 417,494.76 × 195,238.64
  4. Step 4: Simplify right side
    302,634.14x = 81,511,109,149.53
  5. Step 5: Solve for x
    x = 81,511,109,149.53/302,634.14
  6. Step 6: Final answer
    x = 269,338.78

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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.