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Finding the Fourth Proportional to 419,914.39, 629,742.39 and 120,314.70

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Solution

The fourth proportional to 419,914.39, 629,742.39 and 120,314.70 is: 180,435.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,914.39 : 629,742.39 = 120,314.70 : x
  2. Step 2: Convert to fraction form
    419,914.39/629,742.39 = 120,314.70/x
  3. Step 3: Cross multiply
    419,914.39x = 629,742.39 × 120,314.70
  4. Step 4: Simplify right side
    419,914.39x = 75,767,263,581.42
  5. Step 5: Solve for x
    x = 75,767,263,581.42/419,914.39
  6. Step 6: Final answer
    x = 180,435.03

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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.