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Finding the Fourth Proportional to 414,118.44, 621,191.57 and 114,573.96

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Solution

The fourth proportional to 414,118.44, 621,191.57 and 114,573.96 is: 171,864.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,118.44 : 621,191.57 = 114,573.96 : x
  2. Step 2: Convert to fraction form
    414,118.44/621,191.57 = 114,573.96/x
  3. Step 3: Cross multiply
    414,118.44x = 621,191.57 × 114,573.96
  4. Step 4: Simplify right side
    414,118.44x = 71,172,377,520.65
  5. Step 5: Solve for x
    x = 71,172,377,520.65/414,118.44
  6. Step 6: Final answer
    x = 171,864.79

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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.