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Finding the Fourth Proportional to 414,793.19, 622,191.75 and 144,920.20

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Solution

The fourth proportional to 414,793.19, 622,191.75 and 144,920.20 is: 217,380.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,793.19 : 622,191.75 = 144,920.20 : x
  2. Step 2: Convert to fraction form
    414,793.19/622,191.75 = 144,920.20/x
  3. Step 3: Cross multiply
    414,793.19x = 622,191.75 × 144,920.20
  4. Step 4: Simplify right side
    414,793.19x = 90,168,151,388.88
  5. Step 5: Solve for x
    x = 90,168,151,388.88/414,793.19
  6. Step 6: Final answer
    x = 217,380.98

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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.