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Finding the Fourth Proportional to 414,778.58, 622,266.28 and 134,295.83

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Solution

The fourth proportional to 414,778.58, 622,266.28 and 134,295.83 is: 201,475.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,778.58 : 622,266.28 = 134,295.83 : x
  2. Step 2: Convert to fraction form
    414,778.58/622,266.28 = 134,295.83/x
  3. Step 3: Cross multiply
    414,778.58x = 622,266.28 × 134,295.83
  4. Step 4: Simplify right side
    414,778.58x = 83,567,766,553.61
  5. Step 5: Solve for x
    x = 83,567,766,553.61/414,778.58
  6. Step 6: Final answer
    x = 201,475.61

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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.