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Finding the Fourth Proportional to 823,999.38, 1,137,025.16 and 461,372.82

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Solution

The fourth proportional to 823,999.38, 1,137,025.16 and 461,372.82 is: 636,641.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,999.38 : 1,137,025.16 = 461,372.82 : x
  2. Step 2: Convert to fraction form
    823,999.38/1,137,025.16 = 461,372.82/x
  3. Step 3: Cross multiply
    823,999.38x = 1,137,025.16 × 461,372.82
  4. Step 4: Simplify right side
    823,999.38x = 524,592,504,480.15
  5. Step 5: Solve for x
    x = 524,592,504,480.15/823,999.38
  6. Step 6: Final answer
    x = 636,641.87

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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.