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Finding the Fourth Proportional to 280,198.80, 420,298.20 and 256,579.20

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Solution

The fourth proportional to 280,198.80, 420,298.20 and 256,579.20 is: 384,868.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,198.80 : 420,298.20 = 256,579.20 : x
  2. Step 2: Convert to fraction form
    280,198.80/420,298.20 = 256,579.20/x
  3. Step 3: Cross multiply
    280,198.80x = 420,298.20 × 256,579.20
  4. Step 4: Simplify right side
    280,198.80x = 107,839,775,917.44
  5. Step 5: Solve for x
    x = 107,839,775,917.44/280,198.80
  6. Step 6: Final answer
    x = 384,868.80

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1.5x scale

Why These Related Problems?

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