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Finding the Fourth Proportional to 397,105.56, 595,323.41 and 172,296.54

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Solution

The fourth proportional to 397,105.56, 595,323.41 and 172,296.54 is: 258,299.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,105.56 : 595,323.41 = 172,296.54 : x
  2. Step 2: Convert to fraction form
    397,105.56/595,323.41 = 172,296.54/x
  3. Step 3: Cross multiply
    397,105.56x = 595,323.41 × 172,296.54
  4. Step 4: Simplify right side
    397,105.56x = 102,572,162,862.52
  5. Step 5: Solve for x
    x = 102,572,162,862.52/397,105.56
  6. Step 6: Final answer
    x = 258,299.49

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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.