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Finding the Fourth Proportional to 490,638.57, 677,100.42 and 275,777.97

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Solution

The fourth proportional to 490,638.57, 677,100.42 and 275,777.97 is: 380,584.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,638.57 : 677,100.42 = 275,777.97 : x
  2. Step 2: Convert to fraction form
    490,638.57/677,100.42 = 275,777.97/x
  3. Step 3: Cross multiply
    490,638.57x = 677,100.42 × 275,777.97
  4. Step 4: Simplify right side
    490,638.57x = 186,729,379,313.75
  5. Step 5: Solve for x
    x = 186,729,379,313.75/490,638.57
  6. Step 6: Final answer
    x = 380,584.39

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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.