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Finding the Fourth Proportional to 279,977.20, 419,965.80 and 201,245.20

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Solution

The fourth proportional to 279,977.20, 419,965.80 and 201,245.20 is: 301,867.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,977.20 : 419,965.80 = 201,245.20 : x
  2. Step 2: Convert to fraction form
    279,977.20/419,965.80 = 201,245.20/x
  3. Step 3: Cross multiply
    279,977.20x = 419,965.80 × 201,245.20
  4. Step 4: Simplify right side
    279,977.20x = 84,516,101,414.16
  5. Step 5: Solve for x
    x = 84,516,101,414.16/279,977.20
  6. Step 6: Final answer
    x = 301,867.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.