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Finding the Fourth Proportional to 297,694.33, 446,523.39 and 105,578.26

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Solution

The fourth proportional to 297,694.33, 446,523.39 and 105,578.26 is: 158,360.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,694.33 : 446,523.39 = 105,578.26 : x
  2. Step 2: Convert to fraction form
    297,694.33/446,523.39 = 105,578.26/x
  3. Step 3: Cross multiply
    297,694.33x = 446,523.39 × 105,578.26
  4. Step 4: Simplify right side
    297,694.33x = 47,143,161,449.19
  5. Step 5: Solve for x
    x = 47,143,161,449.19/297,694.33
  6. Step 6: Final answer
    x = 158,360.97

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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.