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Finding the Fourth Proportional to 419,821.68, 629,821.98 and 135,528.39

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Solution

The fourth proportional to 419,821.68, 629,821.98 and 135,528.39 is: 203,321.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,821.68 : 629,821.98 = 135,528.39 : x
  2. Step 2: Convert to fraction form
    419,821.68/629,821.98 = 135,528.39/x
  3. Step 3: Cross multiply
    419,821.68x = 629,821.98 × 135,528.39
  4. Step 4: Simplify right side
    419,821.68x = 85,358,758,936.01
  5. Step 5: Solve for x
    x = 85,358,758,936.01/419,821.68
  6. Step 6: Final answer
    x = 203,321.46

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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.