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Finding the Fourth Proportional to 394,194.20, 543,988.53 and 224,428.32

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Solution

The fourth proportional to 394,194.20, 543,988.53 and 224,428.32 is: 309,711.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,194.20 : 543,988.53 = 224,428.32 : x
  2. Step 2: Convert to fraction form
    394,194.20/543,988.53 = 224,428.32/x
  3. Step 3: Cross multiply
    394,194.20x = 543,988.53 × 224,428.32
  4. Step 4: Simplify right side
    394,194.20x = 122,086,431,887.17
  5. Step 5: Solve for x
    x = 122,086,431,887.17/394,194.20
  6. Step 6: Final answer
    x = 309,711.39

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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.