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Finding the Fourth Proportional to 414,162.93, 621,175.19 and 114,673.78

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Solution

The fourth proportional to 414,162.93, 621,175.19 and 114,673.78 is: 171,991.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,162.93 : 621,175.19 = 114,673.78 : x
  2. Step 2: Convert to fraction form
    414,162.93/621,175.19 = 114,673.78/x
  3. Step 3: Cross multiply
    414,162.93x = 621,175.19 × 114,673.78
  4. Step 4: Simplify right side
    414,162.93x = 71,232,508,470.24
  5. Step 5: Solve for x
    x = 71,232,508,470.24/414,162.93
  6. Step 6: Final answer
    x = 171,991.51

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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.