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Finding the Fourth Proportional to 419,964.20, 629,946.30 and 260,531.90

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Solution

The fourth proportional to 419,964.20, 629,946.30 and 260,531.90 is: 390,797.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,964.20 : 629,946.30 = 260,531.90 : x
  2. Step 2: Convert to fraction form
    419,964.20/629,946.30 = 260,531.90/x
  3. Step 3: Cross multiply
    419,964.20x = 629,946.30 × 260,531.90
  4. Step 4: Simplify right side
    419,964.20x = 164,121,106,436.97
  5. Step 5: Solve for x
    x = 164,121,106,436.97/419,964.20
  6. Step 6: Final answer
    x = 390,797.85

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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.