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Finding the Fourth Proportional to 524,285.97, 784,737.42 and 271,217.97

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Solution

The fourth proportional to 524,285.97, 784,737.42 and 271,217.97 is: 405,951.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,285.97 : 784,737.42 = 271,217.97 : x
  2. Step 2: Convert to fraction form
    524,285.97/784,737.42 = 271,217.97/x
  3. Step 3: Cross multiply
    524,285.97x = 784,737.42 × 271,217.97
  4. Step 4: Simplify right side
    524,285.97x = 212,834,889,018.37
  5. Step 5: Solve for x
    x = 212,834,889,018.37/524,285.97
  6. Step 6: Final answer
    x = 405,951.91

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Why These Related Problems?

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