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Finding the Fourth Proportional to 365,241.27, 504,023.26 and 204,097.64

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Solution

The fourth proportional to 365,241.27, 504,023.26 and 204,097.64 is: 281,649.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,241.27 : 504,023.26 = 204,097.64 : x
  2. Step 2: Convert to fraction form
    365,241.27/504,023.26 = 204,097.64/x
  3. Step 3: Cross multiply
    365,241.27x = 504,023.26 × 204,097.64
  4. Step 4: Simplify right side
    365,241.27x = 102,869,957,871.11
  5. Step 5: Solve for x
    x = 102,869,957,871.11/365,241.27
  6. Step 6: Final answer
    x = 281,649.33

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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.