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Finding the Fourth Proportional to 491,420.38, 678,158.73 and 276,560.44

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Solution

The fourth proportional to 491,420.38, 678,158.73 and 276,560.44 is: 381,652.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,420.38 : 678,158.73 = 276,560.44 : x
  2. Step 2: Convert to fraction form
    491,420.38/678,158.73 = 276,560.44/x
  3. Step 3: Cross multiply
    491,420.38x = 678,158.73 × 276,560.44
  4. Step 4: Simplify right side
    491,420.38x = 187,551,876,758.64
  5. Step 5: Solve for x
    x = 187,551,876,758.64/491,420.38
  6. Step 6: Final answer
    x = 381,652.62

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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.