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Finding the Fourth Proportional to 360,052.70, 496,882.56 and 214,942.76

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Solution

The fourth proportional to 360,052.70, 496,882.56 and 214,942.76 is: 296,626.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,052.70 : 496,882.56 = 214,942.76 : x
  2. Step 2: Convert to fraction form
    360,052.70/496,882.56 = 214,942.76/x
  3. Step 3: Cross multiply
    360,052.70x = 496,882.56 × 214,942.76
  4. Step 4: Simplify right side
    360,052.70x = 106,801,308,842.27
  5. Step 5: Solve for x
    x = 106,801,308,842.27/360,052.70
  6. Step 6: Final answer
    x = 296,626.88

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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.