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Finding the Fourth Proportional to 343,891.80, 515,837.70 and 196,435.80

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Solution

The fourth proportional to 343,891.80, 515,837.70 and 196,435.80 is: 294,653.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,891.80 : 515,837.70 = 196,435.80 : x
  2. Step 2: Convert to fraction form
    343,891.80/515,837.70 = 196,435.80/x
  3. Step 3: Cross multiply
    343,891.80x = 515,837.70 × 196,435.80
  4. Step 4: Simplify right side
    343,891.80x = 101,328,991,269.66
  5. Step 5: Solve for x
    x = 101,328,991,269.66/343,891.80
  6. Step 6: Final answer
    x = 294,653.70

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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.