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Finding the Fourth Proportional to 409,962.78, 565,773.99 and 226,200.45

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Solution

The fourth proportional to 409,962.78, 565,773.99 and 226,200.45 is: 312,170.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,962.78 : 565,773.99 = 226,200.45 : x
  2. Step 2: Convert to fraction form
    409,962.78/565,773.99 = 226,200.45/x
  3. Step 3: Cross multiply
    409,962.78x = 565,773.99 × 226,200.45
  4. Step 4: Simplify right side
    409,962.78x = 127,978,331,136.30
  5. Step 5: Solve for x
    x = 127,978,331,136.30/409,962.78
  6. Step 6: Final answer
    x = 312,170.61

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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.