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Finding the Fourth Proportional to 365,709.56, 504,676.62 and 204,563.96

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Solution

The fourth proportional to 365,709.56, 504,676.62 and 204,563.96 is: 282,296.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,709.56 : 504,676.62 = 204,563.96 : x
  2. Step 2: Convert to fraction form
    365,709.56/504,676.62 = 204,563.96/x
  3. Step 3: Cross multiply
    365,709.56x = 504,676.62 × 204,563.96
  4. Step 4: Simplify right side
    365,709.56x = 103,238,647,906.62
  5. Step 5: Solve for x
    x = 103,238,647,906.62/365,709.56
  6. Step 6: Final answer
    x = 282,296.83

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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.