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Finding the Fourth Proportional to 414,894.56, 622,084.08 and 174,884.97

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Solution

The fourth proportional to 414,894.56, 622,084.08 and 174,884.97 is: 262,218.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,894.56 : 622,084.08 = 174,884.97 : x
  2. Step 2: Convert to fraction form
    414,894.56/622,084.08 = 174,884.97/x
  3. Step 3: Cross multiply
    414,894.56x = 622,084.08 × 174,884.97
  4. Step 4: Simplify right side
    414,894.56x = 108,793,155,668.28
  5. Step 5: Solve for x
    x = 108,793,155,668.28/414,894.56
  6. Step 6: Final answer
    x = 262,218.80

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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.