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Finding the Fourth Proportional to 802,702.14, 1,203,299.88 and 269,850.54

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Solution

The fourth proportional to 802,702.14, 1,203,299.88 and 269,850.54 is: 404,522.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,702.14 : 1,203,299.88 = 269,850.54 : x
  2. Step 2: Convert to fraction form
    802,702.14/1,203,299.88 = 269,850.54/x
  3. Step 3: Cross multiply
    802,702.14x = 1,203,299.88 × 269,850.54
  4. Step 4: Simplify right side
    802,702.14x = 324,711,122,399.94
  5. Step 5: Solve for x
    x = 324,711,122,399.94/802,702.14
  6. Step 6: Final answer
    x = 404,522.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.