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Finding the Fourth Proportional to 422,546.65, 583,118.97 and 231,555.94

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Solution

The fourth proportional to 422,546.65, 583,118.97 and 231,555.94 is: 319,549.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,546.65 : 583,118.97 = 231,555.94 : x
  2. Step 2: Convert to fraction form
    422,546.65/583,118.97 = 231,555.94/x
  3. Step 3: Cross multiply
    422,546.65x = 583,118.97 × 231,555.94
  4. Step 4: Simplify right side
    422,546.65x = 135,024,658,904.05
  5. Step 5: Solve for x
    x = 135,024,658,904.05/422,546.65
  6. Step 6: Final answer
    x = 319,549.71

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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.