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Finding the Fourth Proportional to 414,889.99, 622,077.25 and 174,880.41

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Solution

The fourth proportional to 414,889.99, 622,077.25 and 174,880.41 is: 262,211.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,889.99 : 622,077.25 = 174,880.41 : x
  2. Step 2: Convert to fraction form
    414,889.99/622,077.25 = 174,880.41/x
  3. Step 3: Cross multiply
    414,889.99x = 622,077.25 × 174,880.41
  4. Step 4: Simplify right side
    414,889.99x = 108,789,124,531.67
  5. Step 5: Solve for x
    x = 108,789,124,531.67/414,889.99
  6. Step 6: Final answer
    x = 262,211.98

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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.