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Finding the Fourth Proportional to 330,249.31, 455,745.87 and 194,288.38

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Solution

The fourth proportional to 330,249.31, 455,745.87 and 194,288.38 is: 268,119.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,249.31 : 455,745.87 = 194,288.38 : x
  2. Step 2: Convert to fraction form
    330,249.31/455,745.87 = 194,288.38/x
  3. Step 3: Cross multiply
    330,249.31x = 455,745.87 × 194,288.38
  4. Step 4: Simplify right side
    330,249.31x = 88,546,125,634.63
  5. Step 5: Solve for x
    x = 88,546,125,634.63/330,249.31
  6. Step 6: Final answer
    x = 268,119.03

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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.