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Finding the Fourth Proportional to 299,983.80, 449,975.70 and 209,782.20

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Solution

The fourth proportional to 299,983.80, 449,975.70 and 209,782.20 is: 314,673.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,983.80 : 449,975.70 = 209,782.20 : x
  2. Step 2: Convert to fraction form
    299,983.80/449,975.70 = 209,782.20/x
  3. Step 3: Cross multiply
    299,983.80x = 449,975.70 × 209,782.20
  4. Step 4: Simplify right side
    299,983.80x = 94,396,892,292.54
  5. Step 5: Solve for x
    x = 94,396,892,292.54/299,983.80
  6. Step 6: Final answer
    x = 314,673.30

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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.