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Finding the Fourth Proportional to 491,314.05, 678,009 and 276,449.82

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Solution

The fourth proportional to 491,314.05, 678,009 and 276,449.82 is: 381,498.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,314.05 : 678,009 = 276,449.82 : x
  2. Step 2: Convert to fraction form
    491,314.05/678,009 = 276,449.82/x
  3. Step 3: Cross multiply
    491,314.05x = 678,009 × 276,449.82
  4. Step 4: Simplify right side
    491,314.05x = 187,435,466,008.38
  5. Step 5: Solve for x
    x = 187,435,466,008.38/491,314.05
  6. Step 6: Final answer
    x = 381,498.28

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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.