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Finding the Fourth Proportional to 376,976.71, 520,233.14 and 204,894.63

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Solution

The fourth proportional to 376,976.71, 520,233.14 and 204,894.63 is: 282,757.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,976.71 : 520,233.14 = 204,894.63 : x
  2. Step 2: Convert to fraction form
    376,976.71/520,233.14 = 204,894.63/x
  3. Step 3: Cross multiply
    376,976.71x = 520,233.14 × 204,894.63
  4. Step 4: Simplify right side
    376,976.71x = 106,592,976,734.04
  5. Step 5: Solve for x
    x = 106,592,976,734.04/376,976.71
  6. Step 6: Final answer
    x = 282,757.46

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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.