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Finding the Fourth Proportional to 339,992.24, 469,205.92 and 189,086

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Solution

The fourth proportional to 339,992.24, 469,205.92 and 189,086 is: 260,947.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,992.24 : 469,205.92 = 189,086 : x
  2. Step 2: Convert to fraction form
    339,992.24/469,205.92 = 189,086/x
  3. Step 3: Cross multiply
    339,992.24x = 469,205.92 × 189,086
  4. Step 4: Simplify right side
    339,992.24x = 88,720,270,589.12
  5. Step 5: Solve for x
    x = 88,720,270,589.12/339,992.24
  6. Step 6: Final answer
    x = 260,947.93

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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.