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Finding the Fourth Proportional to 295,198.60, 442,344.30 and 219,965.80

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Solution

The fourth proportional to 295,198.60, 442,344.30 and 219,965.80 is: 329,610.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,198.60 : 442,344.30 = 219,965.80 : x
  2. Step 2: Convert to fraction form
    295,198.60/442,344.30 = 219,965.80/x
  3. Step 3: Cross multiply
    295,198.60x = 442,344.30 × 219,965.80
  4. Step 4: Simplify right side
    295,198.60x = 97,300,617,824.94
  5. Step 5: Solve for x
    x = 97,300,617,824.94/295,198.60
  6. Step 6: Final answer
    x = 329,610.70

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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.