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Finding the Fourth Proportional to 364,172.43, 502,351.87 and 227,969.83

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Solution

The fourth proportional to 364,172.43, 502,351.87 and 227,969.83 is: 314,469.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,172.43 : 502,351.87 = 227,969.83 : x
  2. Step 2: Convert to fraction form
    364,172.43/502,351.87 = 227,969.83/x
  3. Step 3: Cross multiply
    364,172.43x = 502,351.87 × 227,969.83
  4. Step 4: Simplify right side
    364,172.43x = 114,521,070,404.08
  5. Step 5: Solve for x
    x = 114,521,070,404.08/364,172.43
  6. Step 6: Final answer
    x = 314,469.36

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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.