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Finding the Fourth Proportional to 414,152.92, 620,786.46 and 214,272.04

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Solution

The fourth proportional to 414,152.92, 620,786.46 and 214,272.04 is: 321,178.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,152.92 : 620,786.46 = 214,272.04 : x
  2. Step 2: Convert to fraction form
    414,152.92/620,786.46 = 214,272.04/x
  3. Step 3: Cross multiply
    414,152.92x = 620,786.46 × 214,272.04
  4. Step 4: Simplify right side
    414,152.92x = 133,017,181,188.58
  5. Step 5: Solve for x
    x = 133,017,181,188.58/414,152.92
  6. Step 6: Final answer
    x = 321,178.90

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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.