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Finding the Fourth Proportional to 820,761.72, 1,231,576.06 and 582,415.78

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Solution

The fourth proportional to 820,761.72, 1,231,576.06 and 582,415.78 is: 873,931.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,761.72 : 1,231,576.06 = 582,415.78 : x
  2. Step 2: Convert to fraction form
    820,761.72/1,231,576.06 = 582,415.78/x
  3. Step 3: Cross multiply
    820,761.72x = 1,231,576.06 × 582,415.78
  4. Step 4: Simplify right side
    820,761.72x = 717,289,331,614.23
  5. Step 5: Solve for x
    x = 717,289,331,614.23/820,761.72
  6. Step 6: Final answer
    x = 873,931.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.