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Finding the Fourth Proportional to 298,629.78, 412,109.04 and 164,493.78

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Solution

The fourth proportional to 298,629.78, 412,109.04 and 164,493.78 is: 227,001.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,629.78 : 412,109.04 = 164,493.78 : x
  2. Step 2: Convert to fraction form
    298,629.78/412,109.04 = 164,493.78/x
  3. Step 3: Cross multiply
    298,629.78x = 412,109.04 × 164,493.78
  4. Step 4: Simplify right side
    298,629.78x = 67,789,373,761.77
  5. Step 5: Solve for x
    x = 67,789,373,761.77/298,629.78
  6. Step 6: Final answer
    x = 227,001.39

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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.