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Finding the Fourth Proportional to 503,550.16, 755,049.16 and 199,636.44

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Solution

The fourth proportional to 503,550.16, 755,049.16 and 199,636.44 is: 299,345.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,550.16 : 755,049.16 = 199,636.44 : x
  2. Step 2: Convert to fraction form
    503,550.16/755,049.16 = 199,636.44/x
  3. Step 3: Cross multiply
    503,550.16x = 755,049.16 × 199,636.44
  4. Step 4: Simplify right side
    503,550.16x = 150,735,322,996.87
  5. Step 5: Solve for x
    x = 150,735,322,996.87/503,550.16
  6. Step 6: Final answer
    x = 299,345.20

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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.