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Finding the Fourth Proportional to 409,796.17, 565,556.03 and 248,692.21

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Solution

The fourth proportional to 409,796.17, 565,556.03 and 248,692.21 is: 343,217.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,796.17 : 565,556.03 = 248,692.21 : x
  2. Step 2: Convert to fraction form
    409,796.17/565,556.03 = 248,692.21/x
  3. Step 3: Cross multiply
    409,796.17x = 565,556.03 × 248,692.21
  4. Step 4: Simplify right side
    409,796.17x = 140,649,377,736.07
  5. Step 5: Solve for x
    x = 140,649,377,736.07/409,796.17
  6. Step 6: Final answer
    x = 343,217.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.