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Finding the Fourth Proportional to 307,054.80, 460,582.20 and 200,766.60

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Solution

The fourth proportional to 307,054.80, 460,582.20 and 200,766.60 is: 301,149.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,054.80 : 460,582.20 = 200,766.60 : x
  2. Step 2: Convert to fraction form
    307,054.80/460,582.20 = 200,766.60/x
  3. Step 3: Cross multiply
    307,054.80x = 460,582.20 × 200,766.60
  4. Step 4: Simplify right side
    307,054.80x = 92,469,522,314.52
  5. Step 5: Solve for x
    x = 92,469,522,314.52/307,054.80
  6. Step 6: Final answer
    x = 301,149.90

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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.