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Finding the Fourth Proportional to 367,753.38, 507,453.24 and 214,755.72

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Solution

The fourth proportional to 367,753.38, 507,453.24 and 214,755.72 is: 296,335.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,753.38 : 507,453.24 = 214,755.72 : x
  2. Step 2: Convert to fraction form
    367,753.38/507,453.24 = 214,755.72/x
  3. Step 3: Cross multiply
    367,753.38x = 507,453.24 × 214,755.72
  4. Step 4: Simplify right side
    367,753.38x = 108,978,485,922.53
  5. Step 5: Solve for x
    x = 108,978,485,922.53/367,753.38
  6. Step 6: Final answer
    x = 296,335.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.