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Finding the Fourth Proportional to 341,896.44, 471,833.40 and 205,972.57

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Solution

The fourth proportional to 341,896.44, 471,833.40 and 205,972.57 is: 284,251.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,896.44 : 471,833.40 = 205,972.57 : x
  2. Step 2: Convert to fraction form
    341,896.44/471,833.40 = 205,972.57/x
  3. Step 3: Cross multiply
    341,896.44x = 471,833.40 × 205,972.57
  4. Step 4: Simplify right side
    341,896.44x = 97,184,739,372.03
  5. Step 5: Solve for x
    x = 97,184,739,372.03/341,896.44
  6. Step 6: Final answer
    x = 284,251.97

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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.