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Finding the Fourth Proportional to 270,736.20, 405,758.70 and 208,096.20

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Solution

The fourth proportional to 270,736.20, 405,758.70 and 208,096.20 is: 311,878.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,736.20 : 405,758.70 = 208,096.20 : x
  2. Step 2: Convert to fraction form
    270,736.20/405,758.70 = 208,096.20/x
  3. Step 3: Cross multiply
    270,736.20x = 405,758.70 × 208,096.20
  4. Step 4: Simplify right side
    270,736.20x = 84,436,843,586.94
  5. Step 5: Solve for x
    x = 84,436,843,586.94/270,736.20
  6. Step 6: Final answer
    x = 311,878.66

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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.