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Finding the Fourth Proportional to 503,850.72, 755,763.48 and 204,251.16

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Solution

The fourth proportional to 503,850.72, 755,763.48 and 204,251.16 is: 306,371.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,850.72 : 755,763.48 = 204,251.16 : x
  2. Step 2: Convert to fraction form
    503,850.72/755,763.48 = 204,251.16/x
  3. Step 3: Cross multiply
    503,850.72x = 755,763.48 × 204,251.16
  4. Step 4: Simplify right side
    503,850.72x = 154,365,567,475.64
  5. Step 5: Solve for x
    x = 154,365,567,475.64/503,850.72
  6. Step 6: Final answer
    x = 306,371.63

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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.