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Finding the Fourth Proportional to 341,991.82, 471,934.11 and 189,022.18

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Solution

The fourth proportional to 341,991.82, 471,934.11 and 189,022.18 is: 260,842.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,991.82 : 471,934.11 = 189,022.18 : x
  2. Step 2: Convert to fraction form
    341,991.82/471,934.11 = 189,022.18/x
  3. Step 3: Cross multiply
    341,991.82x = 471,934.11 × 189,022.18
  4. Step 4: Simplify right side
    341,991.82x = 89,206,014,288.56
  5. Step 5: Solve for x
    x = 89,206,014,288.56/341,991.82
  6. Step 6: Final answer
    x = 260,842.54

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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.