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Finding the Fourth Proportional to 490,735.72, 677,215.38 and 275,876.20

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Solution

The fourth proportional to 490,735.72, 677,215.38 and 275,876.20 is: 380,709.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,735.72 : 677,215.38 = 275,876.20 : x
  2. Step 2: Convert to fraction form
    490,735.72/677,215.38 = 275,876.20/x
  3. Step 3: Cross multiply
    490,735.72x = 677,215.38 × 275,876.20
  4. Step 4: Simplify right side
    490,735.72x = 186,827,605,615.96
  5. Step 5: Solve for x
    x = 186,827,605,615.96/490,735.72
  6. Step 6: Final answer
    x = 380,709.20

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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.