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Finding the Fourth Proportional to 419,656.63, 629,583.27 and 166,951.48

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Solution

The fourth proportional to 419,656.63, 629,583.27 and 166,951.48 is: 250,466.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,656.63 : 629,583.27 = 166,951.48 : x
  2. Step 2: Convert to fraction form
    419,656.63/629,583.27 = 166,951.48/x
  3. Step 3: Cross multiply
    419,656.63x = 629,583.27 × 166,951.48
  4. Step 4: Simplify right side
    419,656.63x = 105,109,858,709.74
  5. Step 5: Solve for x
    x = 105,109,858,709.74/419,656.63
  6. Step 6: Final answer
    x = 250,466.34

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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.