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Finding the Fourth Proportional to 376,205.37, 519,161.99 and 206,442.33

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Solution

The fourth proportional to 376,205.37, 519,161.99 and 206,442.33 is: 284,889.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,205.37 : 519,161.99 = 206,442.33 : x
  2. Step 2: Convert to fraction form
    376,205.37/519,161.99 = 206,442.33/x
  3. Step 3: Cross multiply
    376,205.37x = 519,161.99 × 206,442.33
  4. Step 4: Simplify right side
    376,205.37x = 107,177,009,830.83
  5. Step 5: Solve for x
    x = 107,177,009,830.83/376,205.37
  6. Step 6: Final answer
    x = 284,889.63

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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.