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Finding the Fourth Proportional to 422,633.67, 583,233.26 and 231,646.47

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Solution

The fourth proportional to 422,633.67, 583,233.26 and 231,646.47 is: 319,671.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,633.67 : 583,233.26 = 231,646.47 : x
  2. Step 2: Convert to fraction form
    422,633.67/583,233.26 = 231,646.47/x
  3. Step 3: Cross multiply
    422,633.67x = 583,233.26 × 231,646.47
  4. Step 4: Simplify right side
    422,633.67x = 135,103,924,707.36
  5. Step 5: Solve for x
    x = 135,103,924,707.36/422,633.67
  6. Step 6: Final answer
    x = 319,671.47

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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.