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Finding the Fourth Proportional to 601,893.82, 902,578.25 and 227,654.38

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Solution

The fourth proportional to 601,893.82, 902,578.25 and 227,654.38 is: 341,382.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,893.82 : 902,578.25 = 227,654.38 : x
  2. Step 2: Convert to fraction form
    601,893.82/902,578.25 = 227,654.38/x
  3. Step 3: Cross multiply
    601,893.82x = 902,578.25 × 227,654.38
  4. Step 4: Simplify right side
    601,893.82x = 205,475,887,392.34
  5. Step 5: Solve for x
    x = 205,475,887,392.34/601,893.82
  6. Step 6: Final answer
    x = 341,382.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.