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Finding the Fourth Proportional to 486,099.40, 729,149.10 and 419,614.60

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Solution

The fourth proportional to 486,099.40, 729,149.10 and 419,614.60 is: 629,421.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,099.40 : 729,149.10 = 419,614.60 : x
  2. Step 2: Convert to fraction form
    486,099.40/729,149.10 = 419,614.60/x
  3. Step 3: Cross multiply
    486,099.40x = 729,149.10 × 419,614.60
  4. Step 4: Simplify right side
    486,099.40x = 305,961,607,936.86
  5. Step 5: Solve for x
    x = 305,961,607,936.86/486,099.40
  6. Step 6: Final answer
    x = 629,421.90

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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.