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Finding the Fourth Proportional to 394,057.44, 543,799.88 and 224,291.56

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Solution

The fourth proportional to 394,057.44, 543,799.88 and 224,291.56 is: 309,522.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,057.44 : 543,799.88 = 224,291.56 : x
  2. Step 2: Convert to fraction form
    394,057.44/543,799.88 = 224,291.56/x
  3. Step 3: Cross multiply
    394,057.44x = 543,799.88 × 224,291.56
  4. Step 4: Simplify right side
    394,057.44x = 121,969,723,413.01
  5. Step 5: Solve for x
    x = 121,969,723,413.01/394,057.44
  6. Step 6: Final answer
    x = 309,522.70

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1.5x scale

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.