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Finding the Fourth Proportional to 376,592.34, 519,695.42 and 204,508.80

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Solution

The fourth proportional to 376,592.34, 519,695.42 and 204,508.80 is: 282,221.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,592.34 : 519,695.42 = 204,508.80 : x
  2. Step 2: Convert to fraction form
    376,592.34/519,695.42 = 204,508.80/x
  3. Step 3: Cross multiply
    376,592.34x = 519,695.42 × 204,508.80
  4. Step 4: Simplify right side
    376,592.34x = 106,282,286,709.70
  5. Step 5: Solve for x
    x = 106,282,286,709.70/376,592.34
  6. Step 6: Final answer
    x = 282,221.05

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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.