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Finding the Fourth Proportional to 419,884.20, 629,636.76 and 120,296.21

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Solution

The fourth proportional to 419,884.20, 629,636.76 and 120,296.21 is: 180,390.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,884.20 : 629,636.76 = 120,296.21 : x
  2. Step 2: Convert to fraction form
    419,884.20/629,636.76 = 120,296.21/x
  3. Step 3: Cross multiply
    419,884.20x = 629,636.76 × 120,296.21
  4. Step 4: Simplify right side
    419,884.20x = 75,742,912,756.50
  5. Step 5: Solve for x
    x = 75,742,912,756.50/419,884.20
  6. Step 6: Final answer
    x = 180,390.00

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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.