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Finding the Fourth Proportional to 273,812.80, 409,912.80 and 204,001.60

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Solution

The fourth proportional to 273,812.80, 409,912.80 and 204,001.60 is: 305,401.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,812.80 : 409,912.80 = 204,001.60 : x
  2. Step 2: Convert to fraction form
    273,812.80/409,912.80 = 204,001.60/x
  3. Step 3: Cross multiply
    273,812.80x = 409,912.80 × 204,001.60
  4. Step 4: Simplify right side
    273,812.80x = 83,622,867,060.48
  5. Step 5: Solve for x
    x = 83,622,867,060.48/273,812.80
  6. Step 6: Final answer
    x = 305,401.60

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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.