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Finding the Fourth Proportional to 422,654.67, 583,254.27 and 231,663.96

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Solution

The fourth proportional to 422,654.67, 583,254.27 and 231,663.96 is: 319,691.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,654.67 : 583,254.27 = 231,663.96 : x
  2. Step 2: Convert to fraction form
    422,654.67/583,254.27 = 231,663.96/x
  3. Step 3: Cross multiply
    422,654.67x = 583,254.27 × 231,663.96
  4. Step 4: Simplify right side
    422,654.67x = 135,118,993,875.11
  5. Step 5: Solve for x
    x = 135,118,993,875.11/422,654.67
  6. Step 6: Final answer
    x = 319,691.24

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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.