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Finding the Fourth Proportional to 411,486.31, 567,828.23 and 230,163.26

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Solution

The fourth proportional to 411,486.31, 567,828.23 and 230,163.26 is: 317,612.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,486.31 : 567,828.23 = 230,163.26 : x
  2. Step 2: Convert to fraction form
    411,486.31/567,828.23 = 230,163.26/x
  3. Step 3: Cross multiply
    411,486.31x = 567,828.23 × 230,163.26
  4. Step 4: Simplify right side
    411,486.31x = 130,693,192,546.87
  5. Step 5: Solve for x
    x = 130,693,192,546.87/411,486.31
  6. Step 6: Final answer
    x = 317,612.49

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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.