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Finding the Fourth Proportional to 365,757.72, 504,733.94 and 204,609.30

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Solution

The fourth proportional to 365,757.72, 504,733.94 and 204,609.30 is: 282,354.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,757.72 : 504,733.94 = 204,609.30 : x
  2. Step 2: Convert to fraction form
    365,757.72/504,733.94 = 204,609.30/x
  3. Step 3: Cross multiply
    365,757.72x = 504,733.94 × 204,609.30
  4. Step 4: Simplify right side
    365,757.72x = 103,273,258,149.64
  5. Step 5: Solve for x
    x = 103,273,258,149.64/365,757.72
  6. Step 6: Final answer
    x = 282,354.28

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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.