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Finding the Fourth Proportional to 532,198.27, 798,424.52 and 177,215.36

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Solution

The fourth proportional to 532,198.27, 798,424.52 and 177,215.36 is: 265,865.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,198.27 : 798,424.52 = 177,215.36 : x
  2. Step 2: Convert to fraction form
    532,198.27/798,424.52 = 177,215.36/x
  3. Step 3: Cross multiply
    532,198.27x = 798,424.52 × 177,215.36
  4. Step 4: Simplify right side
    532,198.27x = 141,493,089,854.61
  5. Step 5: Solve for x
    x = 141,493,089,854.61/532,198.27
  6. Step 6: Final answer
    x = 265,865.37

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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.