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Finding the Fourth Proportional to 466,131.96, 699,197.97 and 185,846.04

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Solution

The fourth proportional to 466,131.96, 699,197.97 and 185,846.04 is: 278,769.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,131.96 : 699,197.97 = 185,846.04 : x
  2. Step 2: Convert to fraction form
    466,131.96/699,197.97 = 185,846.04/x
  3. Step 3: Cross multiply
    466,131.96x = 699,197.97 × 185,846.04
  4. Step 4: Simplify right side
    466,131.96x = 129,943,173,900.54
  5. Step 5: Solve for x
    x = 129,943,173,900.54/466,131.96
  6. Step 6: Final answer
    x = 278,769.07

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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.