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Finding the Fourth Proportional to 548,757.68, 827,249.34 and 512,180

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Solution

The fourth proportional to 548,757.68, 827,249.34 and 512,180 is: 772,108.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,757.68 : 827,249.34 = 512,180 : x
  2. Step 2: Convert to fraction form
    548,757.68/827,249.34 = 512,180/x
  3. Step 3: Cross multiply
    548,757.68x = 827,249.34 × 512,180
  4. Step 4: Simplify right side
    548,757.68x = 423,700,566,961.20
  5. Step 5: Solve for x
    x = 423,700,566,961.20/548,757.68
  6. Step 6: Final answer
    x = 772,108.68

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.