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Finding the Fourth Proportional to 491,102.49, 677,684.79 and 276,201.03

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Solution

The fourth proportional to 491,102.49, 677,684.79 and 276,201.03 is: 381,136.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,102.49 : 677,684.79 = 276,201.03 : x
  2. Step 2: Convert to fraction form
    491,102.49/677,684.79 = 276,201.03/x
  3. Step 3: Cross multiply
    491,102.49x = 677,684.79 × 276,201.03
  4. Step 4: Simplify right side
    491,102.49x = 187,177,239,319.75
  5. Step 5: Solve for x
    x = 187,177,239,319.75/491,102.49
  6. Step 6: Final answer
    x = 381,136.82

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