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Finding the Fourth Proportional to 341,732.91, 471,571.89 and 204,067.19

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Solution

The fourth proportional to 341,732.91, 471,571.89 and 204,067.19 is: 281,601.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,732.91 : 471,571.89 = 204,067.19 : x
  2. Step 2: Convert to fraction form
    341,732.91/471,571.89 = 204,067.19/x
  3. Step 3: Cross multiply
    341,732.91x = 471,571.89 × 204,067.19
  4. Step 4: Simplify right side
    341,732.91x = 96,232,348,117.43
  5. Step 5: Solve for x
    x = 96,232,348,117.43/341,732.91
  6. Step 6: Final answer
    x = 281,601.06

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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.