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Finding the Fourth Proportional to 298,608.78, 412,080.09 and 164,472.78

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Solution

The fourth proportional to 298,608.78, 412,080.09 and 164,472.78 is: 226,972.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,608.78 : 412,080.09 = 164,472.78 : x
  2. Step 2: Convert to fraction form
    298,608.78/412,080.09 = 164,472.78/x
  3. Step 3: Cross multiply
    298,608.78x = 412,080.09 × 164,472.78
  4. Step 4: Simplify right side
    298,608.78x = 67,775,957,984.95
  5. Step 5: Solve for x
    x = 67,775,957,984.95/298,608.78
  6. Step 6: Final answer
    x = 226,972.42

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1.5x scale

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.