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Finding the Fourth Proportional to 394,184.70, 543,975.40 and 224,418.82

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Solution

The fourth proportional to 394,184.70, 543,975.40 and 224,418.82 is: 309,698.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,184.70 : 543,975.40 = 224,418.82 : x
  2. Step 2: Convert to fraction form
    394,184.70/543,975.40 = 224,418.82/x
  3. Step 3: Cross multiply
    394,184.70x = 543,975.40 × 224,418.82
  4. Step 4: Simplify right side
    394,184.70x = 122,078,317,377.03
  5. Step 5: Solve for x
    x = 122,078,317,377.03/394,184.70
  6. Step 6: Final answer
    x = 309,698.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.