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Finding the Fourth Proportional to 411,860.50, 618,227.46 and 364,781.22

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Solution

The fourth proportional to 411,860.50, 618,227.46 and 364,781.22 is: 547,558.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,860.50 : 618,227.46 = 364,781.22 : x
  2. Step 2: Convert to fraction form
    411,860.50/618,227.46 = 364,781.22/x
  3. Step 3: Cross multiply
    411,860.50x = 618,227.46 × 364,781.22
  4. Step 4: Simplify right side
    411,860.50x = 225,517,766,184.35
  5. Step 5: Solve for x
    x = 225,517,766,184.35/411,860.50
  6. Step 6: Final answer
    x = 547,558.62

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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.