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Finding the Fourth Proportional to 456,754.01, 684,819.61 and 231,680.44

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Solution

The fourth proportional to 456,754.01, 684,819.61 and 231,680.44 is: 347,362.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,754.01 : 684,819.61 = 231,680.44 : x
  2. Step 2: Convert to fraction form
    456,754.01/684,819.61 = 231,680.44/x
  3. Step 3: Cross multiply
    456,754.01x = 684,819.61 × 231,680.44
  4. Step 4: Simplify right side
    456,754.01x = 158,659,308,565.43
  5. Step 5: Solve for x
    x = 158,659,308,565.43/456,754.01
  6. Step 6: Final answer
    x = 347,362.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.