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Finding the Fourth Proportional to 419,615.58, 629,422.79 and 194,853.11

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Solution

The fourth proportional to 419,615.58, 629,422.79 and 194,853.11 is: 292,279.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,615.58 : 629,422.79 = 194,853.11 : x
  2. Step 2: Convert to fraction form
    419,615.58/629,422.79 = 194,853.11/x
  3. Step 3: Cross multiply
    419,615.58x = 629,422.79 × 194,853.11
  4. Step 4: Simplify right side
    419,615.58x = 122,644,987,836.73
  5. Step 5: Solve for x
    x = 122,644,987,836.73/419,615.58
  6. Step 6: Final answer
    x = 292,279.39

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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.