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Finding the Fourth Proportional to 512,187.20, 767,301.60 and 275,451.20

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Solution

The fourth proportional to 512,187.20, 767,301.60 and 275,451.20 is: 412,650.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,187.20 : 767,301.60 = 275,451.20 : x
  2. Step 2: Convert to fraction form
    512,187.20/767,301.60 = 275,451.20/x
  3. Step 3: Cross multiply
    512,187.20x = 767,301.60 × 275,451.20
  4. Step 4: Simplify right side
    512,187.20x = 211,354,146,481.92
  5. Step 5: Solve for x
    x = 211,354,146,481.92/512,187.20
  6. Step 6: Final answer
    x = 412,650.19

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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.