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Finding the Fourth Proportional to 524,192, 723,385.44 and 285,728

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Solution

The fourth proportional to 524,192, 723,385.44 and 285,728 is: 394,304.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,192 : 723,385.44 = 285,728 : x
  2. Step 2: Convert to fraction form
    524,192/723,385.44 = 285,728/x
  3. Step 3: Cross multiply
    524,192x = 723,385.44 × 285,728
  4. Step 4: Simplify right side
    524,192x = 206,691,475,000.32
  5. Step 5: Solve for x
    x = 206,691,475,000.32/524,192
  6. Step 6: Final answer
    x = 394,304.90

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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.