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Finding the Fourth Proportional to 472,904.20, 709,356.30 and 444,910.60

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Solution

The fourth proportional to 472,904.20, 709,356.30 and 444,910.60 is: 667,365.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,904.20 : 709,356.30 = 444,910.60 : x
  2. Step 2: Convert to fraction form
    472,904.20/709,356.30 = 444,910.60/x
  3. Step 3: Cross multiply
    472,904.20x = 709,356.30 × 444,910.60
  4. Step 4: Simplify right side
    472,904.20x = 315,600,137,046.78
  5. Step 5: Solve for x
    x = 315,600,137,046.78/472,904.20
  6. Step 6: Final answer
    x = 667,365.90

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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.