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Finding the Fourth Proportional to 431,796.60, 647,694.90 and 326,820.60

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Solution

The fourth proportional to 431,796.60, 647,694.90 and 326,820.60 is: 490,230.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,796.60 : 647,694.90 = 326,820.60 : x
  2. Step 2: Convert to fraction form
    431,796.60/647,694.90 = 326,820.60/x
  3. Step 3: Cross multiply
    431,796.60x = 647,694.90 × 326,820.60
  4. Step 4: Simplify right side
    431,796.60x = 211,680,035,834.94
  5. Step 5: Solve for x
    x = 211,680,035,834.94/431,796.60
  6. Step 6: Final answer
    x = 490,230.90

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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.