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Finding the Fourth Proportional to 469,694.14, 704,584.08 and 132,739.66

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Solution

The fourth proportional to 469,694.14, 704,584.08 and 132,739.66 is: 199,121.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,694.14 : 704,584.08 = 132,739.66 : x
  2. Step 2: Convert to fraction form
    469,694.14/704,584.08 = 132,739.66/x
  3. Step 3: Cross multiply
    469,694.14x = 704,584.08 × 132,739.66
  4. Step 4: Simplify right side
    469,694.14x = 93,526,251,220.61
  5. Step 5: Solve for x
    x = 93,526,251,220.61/469,694.14
  6. Step 6: Final answer
    x = 199,121.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.