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Finding the Fourth Proportional to 298,324.40, 447,731.40 and 295,991.60

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Solution

The fourth proportional to 298,324.40, 447,731.40 and 295,991.60 is: 444,230.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,324.40 : 447,731.40 = 295,991.60 : x
  2. Step 2: Convert to fraction form
    298,324.40/447,731.40 = 295,991.60/x
  3. Step 3: Cross multiply
    298,324.40x = 447,731.40 × 295,991.60
  4. Step 4: Simplify right side
    298,324.40x = 132,524,733,456.24
  5. Step 5: Solve for x
    x = 132,524,733,456.24/298,324.40
  6. Step 6: Final answer
    x = 444,230.29

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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.