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Finding the Fourth Proportional to 422,583.22, 583,161.50 and 231,596.16

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Solution

The fourth proportional to 422,583.22, 583,161.50 and 231,596.16 is: 319,600.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,583.22 : 583,161.50 = 231,596.16 : x
  2. Step 2: Convert to fraction form
    422,583.22/583,161.50 = 231,596.16/x
  3. Step 3: Cross multiply
    422,583.22x = 583,161.50 × 231,596.16
  4. Step 4: Simplify right side
    422,583.22x = 135,057,964,059.84
  5. Step 5: Solve for x
    x = 135,057,964,059.84/422,583.22
  6. Step 6: Final answer
    x = 319,600.87

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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.