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Finding the Fourth Proportional to 414,793.85, 622,192.74 and 144,920.85

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Solution

The fourth proportional to 414,793.85, 622,192.74 and 144,920.85 is: 217,381.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,793.85 : 622,192.74 = 144,920.85 : x
  2. Step 2: Convert to fraction form
    414,793.85/622,192.74 = 144,920.85/x
  3. Step 3: Cross multiply
    414,793.85x = 622,192.74 × 144,920.85
  4. Step 4: Simplify right side
    414,793.85x = 90,168,700,744.63
  5. Step 5: Solve for x
    x = 90,168,700,744.63/414,793.85
  6. Step 6: Final answer
    x = 217,381.96

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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.