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Finding the Fourth Proportional to 363,060, 501,022.80 and 204,084

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Solution

The fourth proportional to 363,060, 501,022.80 and 204,084 is: 281,635.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,060 : 501,022.80 = 204,084 : x
  2. Step 2: Convert to fraction form
    363,060/501,022.80 = 204,084/x
  3. Step 3: Cross multiply
    363,060x = 501,022.80 × 204,084
  4. Step 4: Simplify right side
    363,060x = 102,250,737,115.20
  5. Step 5: Solve for x
    x = 102,250,737,115.20/363,060
  6. Step 6: Final answer
    x = 281,635.92

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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.