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Finding the Fourth Proportional to 300,279.46, 414,382.04 and 164,311.90

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Solution

The fourth proportional to 300,279.46, 414,382.04 and 164,311.90 is: 226,748.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,279.46 : 414,382.04 = 164,311.90 : x
  2. Step 2: Convert to fraction form
    300,279.46/414,382.04 = 164,311.90/x
  3. Step 3: Cross multiply
    300,279.46x = 414,382.04 × 164,311.90
  4. Step 4: Simplify right side
    300,279.46x = 68,087,900,318.28
  5. Step 5: Solve for x
    x = 68,087,900,318.28/300,279.46
  6. Step 6: Final answer
    x = 226,748.44

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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.