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Finding the Fourth Proportional to 273,847.80, 409,965.30 and 204,036.60

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Solution

The fourth proportional to 273,847.80, 409,965.30 and 204,036.60 is: 305,454.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,847.80 : 409,965.30 = 204,036.60 : x
  2. Step 2: Convert to fraction form
    273,847.80/409,965.30 = 204,036.60/x
  3. Step 3: Cross multiply
    273,847.80x = 409,965.30 × 204,036.60
  4. Step 4: Simplify right side
    273,847.80x = 83,647,925,929.98
  5. Step 5: Solve for x
    x = 83,647,925,929.98/273,847.80
  6. Step 6: Final answer
    x = 305,454.07

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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.