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Finding the Fourth Proportional to 422,714.30, 583,330.31 and 231,723.59

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Solution

The fourth proportional to 422,714.30, 583,330.31 and 231,723.59 is: 319,770.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,714.30 : 583,330.31 = 231,723.59 : x
  2. Step 2: Convert to fraction form
    422,714.30/583,330.31 = 231,723.59/x
  3. Step 3: Cross multiply
    422,714.30x = 583,330.31 × 231,723.59
  4. Step 4: Simplify right side
    422,714.30x = 135,171,390,382.71
  5. Step 5: Solve for x
    x = 135,171,390,382.71/422,714.30
  6. Step 6: Final answer
    x = 319,770.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.