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Finding the Fourth Proportional to 414,932.80, 622,706.40 and 165,793.60

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Solution

The fourth proportional to 414,932.80, 622,706.40 and 165,793.60 is: 248,813.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,932.80 : 622,706.40 = 165,793.60 : x
  2. Step 2: Convert to fraction form
    414,932.80/622,706.40 = 165,793.60/x
  3. Step 3: Cross multiply
    414,932.80x = 622,706.40 × 165,793.60
  4. Step 4: Simplify right side
    414,932.80x = 103,240,735,799.04
  5. Step 5: Solve for x
    x = 103,240,735,799.04/414,932.80
  6. Step 6: Final answer
    x = 248,813.15

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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.