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Finding the Fourth Proportional to 376,211.12, 519,186.31 and 206,451.32

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Solution

The fourth proportional to 376,211.12, 519,186.31 and 206,451.32 is: 284,911.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,211.12 : 519,186.31 = 206,451.32 : x
  2. Step 2: Convert to fraction form
    376,211.12/519,186.31 = 206,451.32/x
  3. Step 3: Cross multiply
    376,211.12x = 519,186.31 × 206,451.32
  4. Step 4: Simplify right side
    376,211.12x = 107,186,695,913.37
  5. Step 5: Solve for x
    x = 107,186,695,913.37/376,211.12
  6. Step 6: Final answer
    x = 284,911.03

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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.