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Finding the Fourth Proportional to 512,314.10, 768,605.55 and 196,781.30

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Solution

The fourth proportional to 512,314.10, 768,605.55 and 196,781.30 is: 295,223.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,314.10 : 768,605.55 = 196,781.30 : x
  2. Step 2: Convert to fraction form
    512,314.10/768,605.55 = 196,781.30/x
  3. Step 3: Cross multiply
    512,314.10x = 768,605.55 × 196,781.30
  4. Step 4: Simplify right side
    512,314.10x = 151,247,199,316.22
  5. Step 5: Solve for x
    x = 151,247,199,316.22/512,314.10
  6. Step 6: Final answer
    x = 295,223.57

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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.