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Finding the Fourth Proportional to 407,481.38, 562,296.17 and 226,179.03

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Solution

The fourth proportional to 407,481.38, 562,296.17 and 226,179.03 is: 312,111.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,481.38 : 562,296.17 = 226,179.03 : x
  2. Step 2: Convert to fraction form
    407,481.38/562,296.17 = 226,179.03/x
  3. Step 3: Cross multiply
    407,481.38x = 562,296.17 × 226,179.03
  4. Step 4: Simplify right side
    407,481.38x = 127,179,601,172.42
  5. Step 5: Solve for x
    x = 127,179,601,172.42/407,481.38
  6. Step 6: Final answer
    x = 312,111.45

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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.