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Finding the Fourth Proportional to 299,229.72, 412,454.62 and 202,398.26

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Solution

The fourth proportional to 299,229.72, 412,454.62 and 202,398.26 is: 278,983.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,229.72 : 412,454.62 = 202,398.26 : x
  2. Step 2: Convert to fraction form
    299,229.72/412,454.62 = 202,398.26/x
  3. Step 3: Cross multiply
    299,229.72x = 412,454.62 × 202,398.26
  4. Step 4: Simplify right side
    299,229.72x = 83,480,097,723.64
  5. Step 5: Solve for x
    x = 83,480,097,723.64/299,229.72
  6. Step 6: Final answer
    x = 278,983.31

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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.