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Finding the Fourth Proportional to 414,574.46, 622,196.73 and 214,951.94

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Solution

The fourth proportional to 414,574.46, 622,196.73 and 214,951.94 is: 322,601.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,574.46 : 622,196.73 = 214,951.94 : x
  2. Step 2: Convert to fraction form
    414,574.46/622,196.73 = 214,951.94/x
  3. Step 3: Cross multiply
    414,574.46x = 622,196.73 × 214,951.94
  4. Step 4: Simplify right side
    414,574.46x = 133,742,394,175.16
  5. Step 5: Solve for x
    x = 133,742,394,175.16/414,574.46
  6. Step 6: Final answer
    x = 322,601.62

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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.