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Finding the Fourth Proportional to 414,519.96, 621,778.50 and 114,999.96

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Solution

The fourth proportional to 414,519.96, 621,778.50 and 114,999.96 is: 172,499.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,519.96 : 621,778.50 = 114,999.96 : x
  2. Step 2: Convert to fraction form
    414,519.96/621,778.50 = 114,999.96/x
  3. Step 3: Cross multiply
    414,519.96x = 621,778.50 × 114,999.96
  4. Step 4: Simplify right side
    414,519.96x = 71,504,502,628.86
  5. Step 5: Solve for x
    x = 71,504,502,628.86/414,519.96
  6. Step 6: Final answer
    x = 172,499.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.