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Finding the Fourth Proportional to 419,772.26, 629,658.21 and 104,229.16

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Solution

The fourth proportional to 419,772.26, 629,658.21 and 104,229.16 is: 156,343.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,772.26 : 629,658.21 = 104,229.16 : x
  2. Step 2: Convert to fraction form
    419,772.26/629,658.21 = 104,229.16/x
  3. Step 3: Cross multiply
    419,772.26x = 629,658.21 × 104,229.16
  4. Step 4: Simplify right side
    419,772.26x = 65,628,746,315.40
  5. Step 5: Solve for x
    x = 65,628,746,315.40/419,772.26
  6. Step 6: Final answer
    x = 156,343.70

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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.