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Finding the Fourth Proportional to 511,614.36, 767,532.24 and 196,071.48

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Solution

The fourth proportional to 511,614.36, 767,532.24 and 196,071.48 is: 294,149.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,614.36 : 767,532.24 = 196,071.48 : x
  2. Step 2: Convert to fraction form
    511,614.36/767,532.24 = 196,071.48/x
  3. Step 3: Cross multiply
    511,614.36x = 767,532.24 × 196,071.48
  4. Step 4: Simplify right side
    511,614.36x = 150,491,182,244.52
  5. Step 5: Solve for x
    x = 150,491,182,244.52/511,614.36
  6. Step 6: Final answer
    x = 294,149.64

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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.