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Finding the Fourth Proportional to 273,112.80, 409,285.20 and 217,048.80

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Solution

The fourth proportional to 273,112.80, 409,285.20 and 217,048.80 is: 325,268.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,112.80 : 409,285.20 = 217,048.80 : x
  2. Step 2: Convert to fraction form
    273,112.80/409,285.20 = 217,048.80/x
  3. Step 3: Cross multiply
    273,112.80x = 409,285.20 × 217,048.80
  4. Step 4: Simplify right side
    273,112.80x = 88,834,861,517.76
  5. Step 5: Solve for x
    x = 88,834,861,517.76/273,112.80
  6. Step 6: Final answer
    x = 325,268.03

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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.