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Finding the Fourth Proportional to 823,998.63, 1,137,024.12 and 461,372.07

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Solution

The fourth proportional to 823,998.63, 1,137,024.12 and 461,372.07 is: 636,640.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,998.63 : 1,137,024.12 = 461,372.07 : x
  2. Step 2: Convert to fraction form
    823,998.63/1,137,024.12 = 461,372.07/x
  3. Step 3: Cross multiply
    823,998.63x = 1,137,024.12 × 461,372.07
  4. Step 4: Simplify right side
    823,998.63x = 524,591,171,884.33
  5. Step 5: Solve for x
    x = 524,591,171,884.33/823,998.63
  6. Step 6: Final answer
    x = 636,640.83

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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.