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Finding the Fourth Proportional to 419,946.20, 629,919.30 and 262,482.20

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Solution

The fourth proportional to 419,946.20, 629,919.30 and 262,482.20 is: 393,723.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,946.20 : 629,919.30 = 262,482.20 : x
  2. Step 2: Convert to fraction form
    419,946.20/629,919.30 = 262,482.20/x
  3. Step 3: Cross multiply
    419,946.20x = 629,919.30 × 262,482.20
  4. Step 4: Simplify right side
    419,946.20x = 165,342,603,686.46
  5. Step 5: Solve for x
    x = 165,342,603,686.46/419,946.20
  6. Step 6: Final answer
    x = 393,723.30

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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.