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Finding the Fourth Proportional to 375,884.42, 518,744.12 and 206,118.54

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Solution

The fourth proportional to 375,884.42, 518,744.12 and 206,118.54 is: 284,456.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,884.42 : 518,744.12 = 206,118.54 : x
  2. Step 2: Convert to fraction form
    375,884.42/518,744.12 = 206,118.54/x
  3. Step 3: Cross multiply
    375,884.42x = 518,744.12 × 206,118.54
  4. Step 4: Simplify right side
    375,884.42x = 106,922,780,647.99
  5. Step 5: Solve for x
    x = 106,922,780,647.99/375,884.42
  6. Step 6: Final answer
    x = 284,456.54

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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.