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Finding the Fourth Proportional to 823,998.38, 1,137,023.78 and 461,371.82

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Solution

The fourth proportional to 823,998.38, 1,137,023.78 and 461,371.82 is: 636,640.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,998.38 : 1,137,023.78 = 461,371.82 : x
  2. Step 2: Convert to fraction form
    823,998.38/1,137,023.78 = 461,371.82/x
  3. Step 3: Cross multiply
    823,998.38x = 1,137,023.78 × 461,371.82
  4. Step 4: Simplify right side
    823,998.38x = 524,590,730,761.88
  5. Step 5: Solve for x
    x = 524,590,730,761.88/823,998.38
  6. Step 6: Final answer
    x = 636,640.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.