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Finding the Fourth Proportional to 279,980.80, 419,971.20 and 275,315.20

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Solution

The fourth proportional to 279,980.80, 419,971.20 and 275,315.20 is: 412,972.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,980.80 : 419,971.20 = 275,315.20 : x
  2. Step 2: Convert to fraction form
    279,980.80/419,971.20 = 275,315.20/x
  3. Step 3: Cross multiply
    279,980.80x = 419,971.20 × 275,315.20
  4. Step 4: Simplify right side
    279,980.80x = 115,624,454,922.24
  5. Step 5: Solve for x
    x = 115,624,454,922.24/279,980.80
  6. Step 6: Final answer
    x = 412,972.80

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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.