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Finding the Fourth Proportional to 300,216, 414,299.70 and 164,251.56

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Solution

The fourth proportional to 300,216, 414,299.70 and 164,251.56 is: 226,668.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,216 : 414,299.70 = 164,251.56 : x
  2. Step 2: Convert to fraction form
    300,216/414,299.70 = 164,251.56/x
  3. Step 3: Cross multiply
    300,216x = 414,299.70 × 164,251.56
  4. Step 4: Simplify right side
    300,216x = 68,049,372,032.53
  5. Step 5: Solve for x
    x = 68,049,372,032.53/300,216
  6. Step 6: Final answer
    x = 226,668.04

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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.