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Finding the Fourth Proportional to 414,880.80, 622,628.40 and 165,741.60

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Solution

The fourth proportional to 414,880.80, 622,628.40 and 165,741.60 is: 248,735.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,880.80 : 622,628.40 = 165,741.60 : x
  2. Step 2: Convert to fraction form
    414,880.80/622,628.40 = 165,741.60/x
  3. Step 3: Cross multiply
    414,880.80x = 622,628.40 × 165,741.60
  4. Step 4: Simplify right side
    414,880.80x = 103,195,427,221.44
  5. Step 5: Solve for x
    x = 103,195,427,221.44/414,880.80
  6. Step 6: Final answer
    x = 248,735.12

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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.