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Finding the Fourth Proportional to 491,243.75, 677,909.43 and 276,383.30

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Solution

The fourth proportional to 491,243.75, 677,909.43 and 276,383.30 is: 381,405.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,243.75 : 677,909.43 = 276,383.30 : x
  2. Step 2: Convert to fraction form
    491,243.75/677,909.43 = 276,383.30/x
  3. Step 3: Cross multiply
    491,243.75x = 677,909.43 × 276,383.30
  4. Step 4: Simplify right side
    491,243.75x = 187,362,840,593.06
  5. Step 5: Solve for x
    x = 187,362,840,593.06/491,243.75
  6. Step 6: Final answer
    x = 381,405.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.