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Finding the Fourth Proportional to 419,990.97, 629,811.27 and 131,728.35

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Solution

The fourth proportional to 419,990.97, 629,811.27 and 131,728.35 is: 197,537.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,990.97 : 629,811.27 = 131,728.35 : x
  2. Step 2: Convert to fraction form
    419,990.97/629,811.27 = 131,728.35/x
  3. Step 3: Cross multiply
    419,990.97x = 629,811.27 × 131,728.35
  4. Step 4: Simplify right side
    419,990.97x = 82,963,999,408.50
  5. Step 5: Solve for x
    x = 82,963,999,408.50/419,990.97
  6. Step 6: Final answer
    x = 197,537.58

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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.