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Finding the Fourth Proportional to 414,115.92, 620,730.96 and 214,235.04

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Solution

The fourth proportional to 414,115.92, 620,730.96 and 214,235.04 is: 321,123.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,115.92 : 620,730.96 = 214,235.04 : x
  2. Step 2: Convert to fraction form
    414,115.92/620,730.96 = 214,235.04/x
  3. Step 3: Cross multiply
    414,115.92x = 620,730.96 × 214,235.04
  4. Step 4: Simplify right side
    414,115.92x = 132,982,322,044.84
  5. Step 5: Solve for x
    x = 132,982,322,044.84/414,115.92
  6. Step 6: Final answer
    x = 321,123.42

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1.5x scale

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.