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Finding the Fourth Proportional to 442,924.80, 664,387.20 and 309,955.20

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Solution

The fourth proportional to 442,924.80, 664,387.20 and 309,955.20 is: 464,932.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,924.80 : 664,387.20 = 309,955.20 : x
  2. Step 2: Convert to fraction form
    442,924.80/664,387.20 = 309,955.20/x
  3. Step 3: Cross multiply
    442,924.80x = 664,387.20 × 309,955.20
  4. Step 4: Simplify right side
    442,924.80x = 205,930,267,453.44
  5. Step 5: Solve for x
    x = 205,930,267,453.44/442,924.80
  6. Step 6: Final answer
    x = 464,932.80

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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.