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Finding the Fourth Proportional to 394,055.44, 543,797.11 and 224,289.56

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Solution

The fourth proportional to 394,055.44, 543,797.11 and 224,289.56 is: 309,519.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,055.44 : 543,797.11 = 224,289.56 : x
  2. Step 2: Convert to fraction form
    394,055.44/543,797.11 = 224,289.56/x
  3. Step 3: Cross multiply
    394,055.44x = 543,797.11 × 224,289.56
  4. Step 4: Simplify right side
    394,055.44x = 121,968,016,171.03
  5. Step 5: Solve for x
    x = 121,968,016,171.03/394,055.44
  6. Step 6: Final answer
    x = 309,519.94

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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.