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Finding the Fourth Proportional to 414,821.88, 622,323.54 and 134,367.48

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Solution

The fourth proportional to 414,821.88, 622,323.54 and 134,367.48 is: 201,580.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,821.88 : 622,323.54 = 134,367.48 : x
  2. Step 2: Convert to fraction form
    414,821.88/622,323.54 = 134,367.48/x
  3. Step 3: Cross multiply
    414,821.88x = 622,323.54 × 134,367.48
  4. Step 4: Simplify right side
    414,821.88x = 83,620,045,814.48
  5. Step 5: Solve for x
    x = 83,620,045,814.48/414,821.88
  6. Step 6: Final answer
    x = 201,580.61

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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.