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Finding the Fourth Proportional to 410,896.20, 567,033.96 and 229,608.58

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Solution

The fourth proportional to 410,896.20, 567,033.96 and 229,608.58 is: 316,858.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,896.20 : 567,033.96 = 229,608.58 : x
  2. Step 2: Convert to fraction form
    410,896.20/567,033.96 = 229,608.58/x
  3. Step 3: Cross multiply
    410,896.20x = 567,033.96 × 229,608.58
  4. Step 4: Simplify right side
    410,896.20x = 130,195,862,367.38
  5. Step 5: Solve for x
    x = 130,195,862,367.38/410,896.20
  6. Step 6: Final answer
    x = 316,858.28

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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.