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Finding the Fourth Proportional to 340,184.44, 469,404.66 and 204,189.58

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Solution

The fourth proportional to 340,184.44, 469,404.66 and 204,189.58 is: 281,751.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,184.44 : 469,404.66 = 204,189.58 : x
  2. Step 2: Convert to fraction form
    340,184.44/469,404.66 = 204,189.58/x
  3. Step 3: Cross multiply
    340,184.44x = 469,404.66 × 204,189.58
  4. Step 4: Simplify right side
    340,184.44x = 95,847,540,375.44
  5. Step 5: Solve for x
    x = 95,847,540,375.44/340,184.44
  6. Step 6: Final answer
    x = 281,751.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.