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Finding the Fourth Proportional to 515,800.80, 773,983.62 and 200,270.16

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Solution

The fourth proportional to 515,800.80, 773,983.62 and 200,270.16 is: 300,514.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,800.80 : 773,983.62 = 200,270.16 : x
  2. Step 2: Convert to fraction form
    515,800.80/773,983.62 = 200,270.16/x
  3. Step 3: Cross multiply
    515,800.80x = 773,983.62 × 200,270.16
  4. Step 4: Simplify right side
    515,800.80x = 155,005,823,414.78
  5. Step 5: Solve for x
    x = 155,005,823,414.78/515,800.80
  6. Step 6: Final answer
    x = 300,514.90

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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.