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Finding the Fourth Proportional to 419,913.64, 629,741.26 and 120,313.95

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Solution

The fourth proportional to 419,913.64, 629,741.26 and 120,313.95 is: 180,433.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,913.64 : 629,741.26 = 120,313.95 : x
  2. Step 2: Convert to fraction form
    419,913.64/629,741.26 = 120,313.95/x
  3. Step 3: Cross multiply
    419,913.64x = 629,741.26 × 120,313.95
  4. Step 4: Simplify right side
    419,913.64x = 75,766,658,468.58
  5. Step 5: Solve for x
    x = 75,766,658,468.58/419,913.64
  6. Step 6: Final answer
    x = 180,433.91

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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.