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Finding the Fourth Proportional to 376,011.33, 518,920.32 and 206,245.44

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Solution

The fourth proportional to 376,011.33, 518,920.32 and 206,245.44 is: 284,632.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,011.33 : 518,920.32 = 206,245.44 : x
  2. Step 2: Convert to fraction form
    376,011.33/518,920.32 = 206,245.44/x
  3. Step 3: Cross multiply
    376,011.33x = 518,920.32 × 206,245.44
  4. Step 4: Simplify right side
    376,011.33x = 107,024,949,723.34
  5. Step 5: Solve for x
    x = 107,024,949,723.34/376,011.33
  6. Step 6: Final answer
    x = 284,632.25

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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.