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Finding the Fourth Proportional to 491,294.27, 677,999.35 and 276,441.98

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Solution

The fourth proportional to 491,294.27, 677,999.35 and 276,441.98 is: 381,497.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,294.27 : 677,999.35 = 276,441.98 : x
  2. Step 2: Convert to fraction form
    491,294.27/677,999.35 = 276,441.98/x
  3. Step 3: Cross multiply
    491,294.27x = 677,999.35 × 276,441.98
  4. Step 4: Simplify right side
    491,294.27x = 187,427,479,362.72
  5. Step 5: Solve for x
    x = 187,427,479,362.72/491,294.27
  6. Step 6: Final answer
    x = 381,497.39

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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.