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Finding the Fourth Proportional to 422,844.13, 634,169.10 and 252,114.13

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Solution

The fourth proportional to 422,844.13, 634,169.10 and 252,114.13 is: 378,113.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,844.13 : 634,169.10 = 252,114.13 : x
  2. Step 2: Convert to fraction form
    422,844.13/634,169.10 = 252,114.13/x
  3. Step 3: Cross multiply
    422,844.13x = 634,169.10 × 252,114.13
  4. Step 4: Simplify right side
    422,844.13x = 159,882,990,919.38
  5. Step 5: Solve for x
    x = 159,882,990,919.38/422,844.13
  6. Step 6: Final answer
    x = 378,113.30

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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.