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Finding the Fourth Proportional to 300,793.92, 415,077.72 and 164,800.80

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Solution

The fourth proportional to 300,793.92, 415,077.72 and 164,800.80 is: 227,415.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,793.92 : 415,077.72 = 164,800.80 : x
  2. Step 2: Convert to fraction form
    300,793.92/415,077.72 = 164,800.80/x
  3. Step 3: Cross multiply
    300,793.92x = 415,077.72 × 164,800.80
  4. Step 4: Simplify right side
    300,793.92x = 68,405,140,318.18
  5. Step 5: Solve for x
    x = 68,405,140,318.18/300,793.92
  6. Step 6: Final answer
    x = 227,415.30

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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.