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Finding the Fourth Proportional to 491,674.14, 678,523.14 and 276,822.09

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Solution

The fourth proportional to 491,674.14, 678,523.14 and 276,822.09 is: 382,021.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,674.14 : 678,523.14 = 276,822.09 : x
  2. Step 2: Convert to fraction form
    491,674.14/678,523.14 = 276,822.09/x
  3. Step 3: Cross multiply
    491,674.14x = 678,523.14 × 276,822.09
  4. Step 4: Simplify right side
    491,674.14x = 187,830,193,728.16
  5. Step 5: Solve for x
    x = 187,830,193,728.16/491,674.14
  6. Step 6: Final answer
    x = 382,021.71

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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.