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Finding the Fourth Proportional to 548,693.56, 823,018.38 and 211,589.38

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Solution

The fourth proportional to 548,693.56, 823,018.38 and 211,589.38 is: 317,375.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,693.56 : 823,018.38 = 211,589.38 : x
  2. Step 2: Convert to fraction form
    548,693.56/823,018.38 = 211,589.38/x
  3. Step 3: Cross multiply
    548,693.56x = 823,018.38 × 211,589.38
  4. Step 4: Simplify right side
    548,693.56x = 174,141,948,752.80
  5. Step 5: Solve for x
    x = 174,141,948,752.80/548,693.56
  6. Step 6: Final answer
    x = 317,375.60

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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.