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Finding the Fourth Proportional to 394,055.96, 543,818.22 and 224,344.76

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Solution

The fourth proportional to 394,055.96, 543,818.22 and 224,344.76 is: 309,607.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,055.96 : 543,818.22 = 224,344.76 : x
  2. Step 2: Convert to fraction form
    394,055.96/543,818.22 = 224,344.76/x
  3. Step 3: Cross multiply
    394,055.96x = 543,818.22 × 224,344.76
  4. Step 4: Simplify right side
    394,055.96x = 122,002,768,049.53
  5. Step 5: Solve for x
    x = 122,002,768,049.53/394,055.96
  6. Step 6: Final answer
    x = 309,607.72

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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.