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Finding the Fourth Proportional to 494,854.72, 682,891 and 301,192.24

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Solution

The fourth proportional to 494,854.72, 682,891 and 301,192.24 is: 415,640.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,854.72 : 682,891 = 301,192.24 : x
  2. Step 2: Convert to fraction form
    494,854.72/682,891 = 301,192.24/x
  3. Step 3: Cross multiply
    494,854.72x = 682,891 × 301,192.24
  4. Step 4: Simplify right side
    494,854.72x = 205,681,469,965.84
  5. Step 5: Solve for x
    x = 205,681,469,965.84/494,854.72
  6. Step 6: Final answer
    x = 415,640.11

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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.