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Finding the Fourth Proportional to 512,094.07, 768,178.02 and 196,550.98

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Solution

The fourth proportional to 512,094.07, 768,178.02 and 196,550.98 is: 294,840.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,094.07 : 768,178.02 = 196,550.98 : x
  2. Step 2: Convert to fraction form
    512,094.07/768,178.02 = 196,550.98/x
  3. Step 3: Cross multiply
    512,094.07x = 768,178.02 × 196,550.98
  4. Step 4: Simplify right side
    512,094.07x = 150,986,142,645.46
  5. Step 5: Solve for x
    x = 150,986,142,645.46/512,094.07
  6. Step 6: Final answer
    x = 294,840.64

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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.