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Finding the Fourth Proportional to 512,647.80, 768,741.30 and 196,999.80

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Solution

The fourth proportional to 512,647.80, 768,741.30 and 196,999.80 is: 295,411.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,647.80 : 768,741.30 = 196,999.80 : x
  2. Step 2: Convert to fraction form
    512,647.80/768,741.30 = 196,999.80/x
  3. Step 3: Cross multiply
    512,647.80x = 768,741.30 × 196,999.80
  4. Step 4: Simplify right side
    512,647.80x = 151,441,882,351.74
  5. Step 5: Solve for x
    x = 151,441,882,351.74/512,647.80
  6. Step 6: Final answer
    x = 295,411.16

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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.