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Finding the Fourth Proportional to 394,224.98, 544,041.66 and 222,144.53

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Solution

The fourth proportional to 394,224.98, 544,041.66 and 222,144.53 is: 306,565.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,224.98 : 544,041.66 = 222,144.53 : x
  2. Step 2: Convert to fraction form
    394,224.98/544,041.66 = 222,144.53/x
  3. Step 3: Cross multiply
    394,224.98x = 544,041.66 × 222,144.53
  4. Step 4: Simplify right side
    394,224.98x = 120,855,876,973.95
  5. Step 5: Solve for x
    x = 120,855,876,973.95/394,224.98
  6. Step 6: Final answer
    x = 306,565.75

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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.