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Finding the Fourth Proportional to 419,687.33, 629,037.83 and 194,573.95

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Solution

The fourth proportional to 419,687.33, 629,037.83 and 194,573.95 is: 291,632.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,687.33 : 629,037.83 = 194,573.95 : x
  2. Step 2: Convert to fraction form
    419,687.33/629,037.83 = 194,573.95/x
  3. Step 3: Cross multiply
    419,687.33x = 629,037.83 × 194,573.95
  4. Step 4: Simplify right side
    419,687.33x = 122,394,374,196.37
  5. Step 5: Solve for x
    x = 122,394,374,196.37/419,687.33
  6. Step 6: Final answer
    x = 291,632.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.