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Finding the Fourth Proportional to 414,168.66, 621,183.76 and 114,679.51

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Solution

The fourth proportional to 414,168.66, 621,183.76 and 114,679.51 is: 172,000.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,168.66 : 621,183.76 = 114,679.51 : x
  2. Step 2: Convert to fraction form
    414,168.66/621,183.76 = 114,679.51/x
  3. Step 3: Cross multiply
    414,168.66x = 621,183.76 × 114,679.51
  4. Step 4: Simplify right side
    414,168.66x = 71,237,047,377.10
  5. Step 5: Solve for x
    x = 71,237,047,377.10/414,168.66
  6. Step 6: Final answer
    x = 172,000.09

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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.