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Finding the Fourth Proportional to 413,794.60, 620,691.90 and 330,850.60

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Solution

The fourth proportional to 413,794.60, 620,691.90 and 330,850.60 is: 496,275.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,794.60 : 620,691.90 = 330,850.60 : x
  2. Step 2: Convert to fraction form
    413,794.60/620,691.90 = 330,850.60/x
  3. Step 3: Cross multiply
    413,794.60x = 620,691.90 × 330,850.60
  4. Step 4: Simplify right side
    413,794.60x = 205,356,287,530.14
  5. Step 5: Solve for x
    x = 205,356,287,530.14/413,794.60
  6. Step 6: Final answer
    x = 496,275.90

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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.