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Finding the Fourth Proportional to 279,454.64, 419,206.92 and 79,771.28

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Solution

The fourth proportional to 279,454.64, 419,206.92 and 79,771.28 is: 119,664.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,454.64 : 419,206.92 = 79,771.28 : x
  2. Step 2: Convert to fraction form
    279,454.64/419,206.92 = 79,771.28/x
  3. Step 3: Cross multiply
    279,454.64x = 419,206.92 × 79,771.28
  4. Step 4: Simplify right side
    279,454.64x = 33,440,672,593.26
  5. Step 5: Solve for x
    x = 33,440,672,593.26/279,454.64
  6. Step 6: Final answer
    x = 119,664.04

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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.