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Finding the Fourth Proportional to 409,324.20, 613,986.30 and 267,606.60

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Solution

The fourth proportional to 409,324.20, 613,986.30 and 267,606.60 is: 401,409.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,324.20 : 613,986.30 = 267,606.60 : x
  2. Step 2: Convert to fraction form
    409,324.20/613,986.30 = 267,606.60/x
  3. Step 3: Cross multiply
    409,324.20x = 613,986.30 × 267,606.60
  4. Step 4: Simplify right side
    409,324.20x = 164,306,786,189.58
  5. Step 5: Solve for x
    x = 164,306,786,189.58/409,324.20
  6. Step 6: Final answer
    x = 401,409.90

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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.