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Finding the Fourth Proportional to 299,076.30, 412,863.50 and 184,375.44

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Solution

The fourth proportional to 299,076.30, 412,863.50 and 184,375.44 is: 254,523.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,076.30 : 412,863.50 = 184,375.44 : x
  2. Step 2: Convert to fraction form
    299,076.30/412,863.50 = 184,375.44/x
  3. Step 3: Cross multiply
    299,076.30x = 412,863.50 × 184,375.44
  4. Step 4: Simplify right side
    299,076.30x = 76,121,889,933.38
  5. Step 5: Solve for x
    x = 76,121,889,933.38/299,076.30
  6. Step 6: Final answer
    x = 254,523.31

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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.