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Finding the Fourth Proportional to 413,236.52, 570,222.64 and 231,968.38

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Solution

The fourth proportional to 413,236.52, 570,222.64 and 231,968.38 is: 320,091.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,236.52 : 570,222.64 = 231,968.38 : x
  2. Step 2: Convert to fraction form
    413,236.52/570,222.64 = 231,968.38/x
  3. Step 3: Cross multiply
    413,236.52x = 570,222.64 × 231,968.38
  4. Step 4: Simplify right side
    413,236.52x = 132,273,622,040.12
  5. Step 5: Solve for x
    x = 132,273,622,040.12/413,236.52
  6. Step 6: Final answer
    x = 320,091.80

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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.