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Finding the Fourth Proportional to 442,982.80, 664,474.20 and 206,349.40

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Solution

The fourth proportional to 442,982.80, 664,474.20 and 206,349.40 is: 309,524.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,982.80 : 664,474.20 = 206,349.40 : x
  2. Step 2: Convert to fraction form
    442,982.80/664,474.20 = 206,349.40/x
  3. Step 3: Cross multiply
    442,982.80x = 664,474.20 × 206,349.40
  4. Step 4: Simplify right side
    442,982.80x = 137,113,852,485.48
  5. Step 5: Solve for x
    x = 137,113,852,485.48/442,982.80
  6. Step 6: Final answer
    x = 309,524.10

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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.