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Finding the Fourth Proportional to 365,364.40, 504,226.44 and 204,226.24

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Solution

The fourth proportional to 365,364.40, 504,226.44 and 204,226.24 is: 281,845.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,364.40 : 504,226.44 = 204,226.24 : x
  2. Step 2: Convert to fraction form
    365,364.40/504,226.44 = 204,226.24/x
  3. Step 3: Cross multiply
    365,364.40x = 504,226.44 × 204,226.24
  4. Step 4: Simplify right side
    365,364.40x = 102,976,269,949.79
  5. Step 5: Solve for x
    x = 102,976,269,949.79/365,364.40
  6. Step 6: Final answer
    x = 281,845.38

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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.