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Finding the Fourth Proportional to 394,082.50, 543,834.48 and 224,316.64

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Solution

The fourth proportional to 394,082.50, 543,834.48 and 224,316.64 is: 309,557.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,082.50 : 543,834.48 = 224,316.64 : x
  2. Step 2: Convert to fraction form
    394,082.50/543,834.48 = 224,316.64/x
  3. Step 3: Cross multiply
    394,082.50x = 543,834.48 × 224,316.64
  4. Step 4: Simplify right side
    394,082.50x = 121,991,123,269.75
  5. Step 5: Solve for x
    x = 121,991,123,269.75/394,082.50
  6. Step 6: Final answer
    x = 309,557.32

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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.