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Finding the Fourth Proportional to 491,454.31, 678,133.79 and 276,581.56

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Solution

The fourth proportional to 491,454.31, 678,133.79 and 276,581.56 is: 381,641.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,454.31 : 678,133.79 = 276,581.56 : x
  2. Step 2: Convert to fraction form
    491,454.31/678,133.79 = 276,581.56/x
  3. Step 3: Cross multiply
    491,454.31x = 678,133.79 × 276,581.56
  4. Step 4: Simplify right side
    491,454.31x = 187,559,298,136.24
  5. Step 5: Solve for x
    x = 187,559,298,136.24/491,454.31
  6. Step 6: Final answer
    x = 381,641.38

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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.