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Finding the Fourth Proportional to 635,183.46, 952,779.51 and 214,462.98

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Solution

The fourth proportional to 635,183.46, 952,779.51 and 214,462.98 is: 321,695.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,183.46 : 952,779.51 = 214,462.98 : x
  2. Step 2: Convert to fraction form
    635,183.46/952,779.51 = 214,462.98/x
  3. Step 3: Cross multiply
    635,183.46x = 952,779.51 × 214,462.98
  4. Step 4: Simplify right side
    635,183.46x = 204,335,932,997.54
  5. Step 5: Solve for x
    x = 204,335,932,997.54/635,183.46
  6. Step 6: Final answer
    x = 321,695.93

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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.