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Finding the Fourth Proportional to 441,993.80, 662,990.70 and 161,712.20

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Solution

The fourth proportional to 441,993.80, 662,990.70 and 161,712.20 is: 242,568.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,993.80 : 662,990.70 = 161,712.20 : x
  2. Step 2: Convert to fraction form
    441,993.80/662,990.70 = 161,712.20/x
  3. Step 3: Cross multiply
    441,993.80x = 662,990.70 × 161,712.20
  4. Step 4: Simplify right side
    441,993.80x = 107,213,684,676.54
  5. Step 5: Solve for x
    x = 107,213,684,676.54/441,993.80
  6. Step 6: Final answer
    x = 242,568.30

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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.