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Finding the Fourth Proportional to 409,773.17, 613,500.64 and 217,208.83

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Solution

The fourth proportional to 409,773.17, 613,500.64 and 217,208.83 is: 325,198.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,773.17 : 613,500.64 = 217,208.83 : x
  2. Step 2: Convert to fraction form
    409,773.17/613,500.64 = 217,208.83/x
  3. Step 3: Cross multiply
    409,773.17x = 613,500.64 × 217,208.83
  4. Step 4: Simplify right side
    409,773.17x = 133,257,758,023.91
  5. Step 5: Solve for x
    x = 133,257,758,023.91/409,773.17
  6. Step 6: Final answer
    x = 325,198.84

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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.