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Finding the Fourth Proportional to 300,558.86, 414,778.96 and 164,600.30

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Solution

The fourth proportional to 300,558.86, 414,778.96 and 164,600.30 is: 227,152.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,558.86 : 414,778.96 = 164,600.30 : x
  2. Step 2: Convert to fraction form
    300,558.86/414,778.96 = 164,600.30/x
  3. Step 3: Cross multiply
    300,558.86x = 414,778.96 × 164,600.30
  4. Step 4: Simplify right side
    300,558.86x = 68,272,741,249.69
  5. Step 5: Solve for x
    x = 68,272,741,249.69/300,558.86
  6. Step 6: Final answer
    x = 227,152.65

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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.