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Finding the Fourth Proportional to 324,034.38, 447,146.16 and 203,170.50

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Solution

The fourth proportional to 324,034.38, 447,146.16 and 203,170.50 is: 280,361.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,034.38 : 447,146.16 = 203,170.50 : x
  2. Step 2: Convert to fraction form
    324,034.38/447,146.16 = 203,170.50/x
  3. Step 3: Cross multiply
    324,034.38x = 447,146.16 × 203,170.50
  4. Step 4: Simplify right side
    324,034.38x = 90,846,908,900.28
  5. Step 5: Solve for x
    x = 90,846,908,900.28/324,034.38
  6. Step 6: Final answer
    x = 280,361.94

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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.