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Finding the Fourth Proportional to 283,365.38, 422,837.84 and 258,214.88

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Solution

The fourth proportional to 283,365.38, 422,837.84 and 258,214.88 is: 385,308.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,365.38 : 422,837.84 = 258,214.88 : x
  2. Step 2: Convert to fraction form
    283,365.38/422,837.84 = 258,214.88/x
  3. Step 3: Cross multiply
    283,365.38x = 422,837.84 × 258,214.88
  4. Step 4: Simplify right side
    283,365.38x = 109,183,022,115.06
  5. Step 5: Solve for x
    x = 109,183,022,115.06/283,365.38
  6. Step 6: Final answer
    x = 385,308.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.