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Finding the Fourth Proportional to 419,777.64, 629,764.89 and 167,073.44

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Solution

The fourth proportional to 419,777.64, 629,764.89 and 167,073.44 is: 250,649.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,777.64 : 629,764.89 = 167,073.44 : x
  2. Step 2: Convert to fraction form
    419,777.64/629,764.89 = 167,073.44/x
  3. Step 3: Cross multiply
    419,777.64x = 629,764.89 × 167,073.44
  4. Step 4: Simplify right side
    419,777.64x = 105,216,986,563.52
  5. Step 5: Solve for x
    x = 105,216,986,563.52/419,777.64
  6. Step 6: Final answer
    x = 250,649.34

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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.