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Finding the Fourth Proportional to 419,734.20, 629,543.70 and 139,222.20

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Solution

The fourth proportional to 419,734.20, 629,543.70 and 139,222.20 is: 208,814.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,734.20 : 629,543.70 = 139,222.20 : x
  2. Step 2: Convert to fraction form
    419,734.20/629,543.70 = 139,222.20/x
  3. Step 3: Cross multiply
    419,734.20x = 629,543.70 × 139,222.20
  4. Step 4: Simplify right side
    419,734.20x = 87,646,458,910.14
  5. Step 5: Solve for x
    x = 87,646,458,910.14/419,734.20
  6. Step 6: Final answer
    x = 208,814.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.