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Finding the Fourth Proportional to 343,824.80, 515,737.20 and 196,368.80

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Solution

The fourth proportional to 343,824.80, 515,737.20 and 196,368.80 is: 294,553.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,824.80 : 515,737.20 = 196,368.80 : x
  2. Step 2: Convert to fraction form
    343,824.80/515,737.20 = 196,368.80/x
  3. Step 3: Cross multiply
    343,824.80x = 515,737.20 × 196,368.80
  4. Step 4: Simplify right side
    343,824.80x = 101,274,695,079.36
  5. Step 5: Solve for x
    x = 101,274,695,079.36/343,824.80
  6. Step 6: Final answer
    x = 294,553.20

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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.