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Finding the Fourth Proportional to 307,114.80, 460,672.20 and 200,826.60

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Solution

The fourth proportional to 307,114.80, 460,672.20 and 200,826.60 is: 301,239.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,114.80 : 460,672.20 = 200,826.60 : x
  2. Step 2: Convert to fraction form
    307,114.80/460,672.20 = 200,826.60/x
  3. Step 3: Cross multiply
    307,114.80x = 460,672.20 × 200,826.60
  4. Step 4: Simplify right side
    307,114.80x = 92,515,231,640.52
  5. Step 5: Solve for x
    x = 92,515,231,640.52/307,114.80
  6. Step 6: Final answer
    x = 301,239.90

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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.