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Finding the Fourth Proportional to 365,242.08, 504,024.40 and 204,098.44

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Solution

The fourth proportional to 365,242.08, 504,024.40 and 204,098.44 is: 281,650.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,242.08 : 504,024.40 = 204,098.44 : x
  2. Step 2: Convert to fraction form
    365,242.08/504,024.40 = 204,098.44/x
  3. Step 3: Cross multiply
    365,242.08x = 504,024.40 × 204,098.44
  4. Step 4: Simplify right side
    365,242.08x = 102,870,593,761.94
  5. Step 5: Solve for x
    x = 102,870,593,761.94/365,242.08
  6. Step 6: Final answer
    x = 281,650.44

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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.