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Finding the Fourth Proportional to 512,294.36, 768,478.45 and 196,751.27

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Solution

The fourth proportional to 512,294.36, 768,478.45 and 196,751.27 is: 295,141.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,294.36 : 768,478.45 = 196,751.27 : x
  2. Step 2: Convert to fraction form
    512,294.36/768,478.45 = 196,751.27/x
  3. Step 3: Cross multiply
    512,294.36x = 768,478.45 × 196,751.27
  4. Step 4: Simplify right side
    512,294.36x = 151,199,106,178.98
  5. Step 5: Solve for x
    x = 151,199,106,178.98/512,294.36
  6. Step 6: Final answer
    x = 295,141.07

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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.