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Finding the Fourth Proportional to 419,946.40, 629,919.60 and 251,984.80

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Solution

The fourth proportional to 419,946.40, 629,919.60 and 251,984.80 is: 377,977.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,946.40 : 629,919.60 = 251,984.80 : x
  2. Step 2: Convert to fraction form
    419,946.40/629,919.60 = 251,984.80/x
  3. Step 3: Cross multiply
    419,946.40x = 629,919.60 × 251,984.80
  4. Step 4: Simplify right side
    419,946.40x = 158,730,164,422.08
  5. Step 5: Solve for x
    x = 158,730,164,422.08/419,946.40
  6. Step 6: Final answer
    x = 377,977.20

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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.