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Finding the Fourth Proportional to 279,957.40, 419,936.10 and 264,794.20

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Solution

The fourth proportional to 279,957.40, 419,936.10 and 264,794.20 is: 397,191.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,957.40 : 419,936.10 = 264,794.20 : x
  2. Step 2: Convert to fraction form
    279,957.40/419,936.10 = 264,794.20/x
  3. Step 3: Cross multiply
    279,957.40x = 419,936.10 × 264,794.20
  4. Step 4: Simplify right side
    279,957.40x = 111,196,643,650.62
  5. Step 5: Solve for x
    x = 111,196,643,650.62/279,957.40
  6. Step 6: Final answer
    x = 397,191.30

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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.