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Finding the Fourth Proportional to 343,805.27, 515,813.48 and 164,119.98

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Solution

The fourth proportional to 343,805.27, 515,813.48 and 164,119.98 is: 246,230.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,805.27 : 515,813.48 = 164,119.98 : x
  2. Step 2: Convert to fraction form
    343,805.27/515,813.48 = 164,119.98/x
  3. Step 3: Cross multiply
    343,805.27x = 515,813.48 × 164,119.98
  4. Step 4: Simplify right side
    343,805.27x = 84,655,297,200.73
  5. Step 5: Solve for x
    x = 84,655,297,200.73/343,805.27
  6. Step 6: Final answer
    x = 246,230.37

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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.