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Finding the Fourth Proportional to 466,537.60, 699,806.40 and 200,252.80

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Solution

The fourth proportional to 466,537.60, 699,806.40 and 200,252.80 is: 300,379.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,537.60 : 699,806.40 = 200,252.80 : x
  2. Step 2: Convert to fraction form
    466,537.60/699,806.40 = 200,252.80/x
  3. Step 3: Cross multiply
    466,537.60x = 699,806.40 × 200,252.80
  4. Step 4: Simplify right side
    466,537.60x = 140,138,191,057.92
  5. Step 5: Solve for x
    x = 140,138,191,057.92/466,537.60
  6. Step 6: Final answer
    x = 300,379.20

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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.