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Finding the Fourth Proportional to 414,161.56, 621,243.22 and 114,643

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Solution

The fourth proportional to 414,161.56, 621,243.22 and 114,643 is: 171,964.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,161.56 : 621,243.22 = 114,643 : x
  2. Step 2: Convert to fraction form
    414,161.56/621,243.22 = 114,643/x
  3. Step 3: Cross multiply
    414,161.56x = 621,243.22 × 114,643
  4. Step 4: Simplify right side
    414,161.56x = 71,221,186,470.46
  5. Step 5: Solve for x
    x = 71,221,186,470.46/414,161.56
  6. Step 6: Final answer
    x = 171,964.74

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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.