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Finding the Fourth Proportional to 419,903.60, 629,855.40 and 414,006.80

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Solution

The fourth proportional to 419,903.60, 629,855.40 and 414,006.80 is: 621,010.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,903.60 : 629,855.40 = 414,006.80 : x
  2. Step 2: Convert to fraction form
    419,903.60/629,855.40 = 414,006.80/x
  3. Step 3: Cross multiply
    419,903.60x = 629,855.40 × 414,006.80
  4. Step 4: Simplify right side
    419,903.60x = 260,764,418,616.72
  5. Step 5: Solve for x
    x = 260,764,418,616.72/419,903.60
  6. Step 6: Final answer
    x = 621,010.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.