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Finding the Fourth Proportional to 300,652.38, 414,884.22 and 164,679.30

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Solution

The fourth proportional to 300,652.38, 414,884.22 and 164,679.30 is: 227,248.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,652.38 : 414,884.22 = 164,679.30 : x
  2. Step 2: Convert to fraction form
    300,652.38/414,884.22 = 164,679.30/x
  3. Step 3: Cross multiply
    300,652.38x = 414,884.22 × 164,679.30
  4. Step 4: Simplify right side
    300,652.38x = 68,322,842,930.65
  5. Step 5: Solve for x
    x = 68,322,842,930.65/300,652.38
  6. Step 6: Final answer
    x = 227,248.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.