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Finding the Fourth Proportional to 298,634.38, 412,115.46 and 164,498.38

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Solution

The fourth proportional to 298,634.38, 412,115.46 and 164,498.38 is: 227,007.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,634.38 : 412,115.46 = 164,498.38 : x
  2. Step 2: Convert to fraction form
    298,634.38/412,115.46 = 164,498.38/x
  3. Step 3: Cross multiply
    298,634.38x = 412,115.46 × 164,498.38
  4. Step 4: Simplify right side
    298,634.38x = 67,792,325,542.95
  5. Step 5: Solve for x
    x = 67,792,325,542.95/298,634.38
  6. Step 6: Final answer
    x = 227,007.77

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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.