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Finding the Fourth Proportional to 414,055.92, 620,640.96 and 214,175.04

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Solution

The fourth proportional to 414,055.92, 620,640.96 and 214,175.04 is: 321,033.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,055.92 : 620,640.96 = 214,175.04 : x
  2. Step 2: Convert to fraction form
    414,055.92/620,640.96 = 214,175.04/x
  3. Step 3: Cross multiply
    414,055.92x = 620,640.96 × 214,175.04
  4. Step 4: Simplify right side
    414,055.92x = 132,925,802,433.64
  5. Step 5: Solve for x
    x = 132,925,802,433.64/414,055.92
  6. Step 6: Final answer
    x = 321,033.45

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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.