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Finding the Fourth Proportional to 422,541.34, 583,111.64 and 231,550.62

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Solution

The fourth proportional to 422,541.34, 583,111.64 and 231,550.62 is: 319,542.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,541.34 : 583,111.64 = 231,550.62 : x
  2. Step 2: Convert to fraction form
    422,541.34/583,111.64 = 231,550.62/x
  3. Step 3: Cross multiply
    422,541.34x = 583,111.64 × 231,550.62
  4. Step 4: Simplify right side
    422,541.34x = 135,019,861,771.22
  5. Step 5: Solve for x
    x = 135,019,861,771.22/422,541.34
  6. Step 6: Final answer
    x = 319,542.37

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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.