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Finding the Fourth Proportional to 548,933.86, 822,768.99 and 211,825.43

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Solution

The fourth proportional to 548,933.86, 822,768.99 and 211,825.43 is: 317,494.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,933.86 : 822,768.99 = 211,825.43 : x
  2. Step 2: Convert to fraction form
    548,933.86/822,768.99 = 211,825.43/x
  3. Step 3: Cross multiply
    548,933.86x = 822,768.99 × 211,825.43
  4. Step 4: Simplify right side
    548,933.86x = 174,283,394,466.13
  5. Step 5: Solve for x
    x = 174,283,394,466.13/548,933.86
  6. Step 6: Final answer
    x = 317,494.34

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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.