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Finding the Fourth Proportional to 414,113.44, 621,183.97 and 114,568.94

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Solution

The fourth proportional to 414,113.44, 621,183.97 and 114,568.94 is: 171,857.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,113.44 : 621,183.97 = 114,568.94 : x
  2. Step 2: Convert to fraction form
    414,113.44/621,183.97 = 114,568.94/x
  3. Step 3: Cross multiply
    414,113.44x = 621,183.97 × 114,568.94
  4. Step 4: Simplify right side
    414,113.44x = 71,168,385,881.97
  5. Step 5: Solve for x
    x = 71,168,385,881.97/414,113.44
  6. Step 6: Final answer
    x = 171,857.22

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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.