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Finding the Fourth Proportional to 442,934.80, 664,402.20 and 309,965.20

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Solution

The fourth proportional to 442,934.80, 664,402.20 and 309,965.20 is: 464,947.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,934.80 : 664,402.20 = 309,965.20 : x
  2. Step 2: Convert to fraction form
    442,934.80/664,402.20 = 309,965.20/x
  3. Step 3: Cross multiply
    442,934.80x = 664,402.20 × 309,965.20
  4. Step 4: Simplify right side
    442,934.80x = 205,941,560,803.44
  5. Step 5: Solve for x
    x = 205,941,560,803.44/442,934.80
  6. Step 6: Final answer
    x = 464,947.80

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