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Finding the Fourth Proportional to 442,912.80, 664,369.20 and 309,943.20

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Solution

The fourth proportional to 442,912.80, 664,369.20 and 309,943.20 is: 464,914.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,912.80 : 664,369.20 = 309,943.20 : x
  2. Step 2: Convert to fraction form
    442,912.80/664,369.20 = 309,943.20/x
  3. Step 3: Cross multiply
    442,912.80x = 664,369.20 × 309,943.20
  4. Step 4: Simplify right side
    442,912.80x = 205,916,715,829.44
  5. Step 5: Solve for x
    x = 205,916,715,829.44/442,912.80
  6. Step 6: Final answer
    x = 464,914.80

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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.