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Finding the Fourth Proportional to 300,778.92, 415,057.02 and 164,785.80

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Solution

The fourth proportional to 300,778.92, 415,057.02 and 164,785.80 is: 227,394.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,778.92 : 415,057.02 = 164,785.80 : x
  2. Step 2: Convert to fraction form
    300,778.92/415,057.02 = 164,785.80/x
  3. Step 3: Cross multiply
    300,778.92x = 415,057.02 × 164,785.80
  4. Step 4: Simplify right side
    300,778.92x = 68,395,503,086.32
  5. Step 5: Solve for x
    x = 68,395,503,086.32/300,778.92
  6. Step 6: Final answer
    x = 227,394.60

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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.