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Finding the Fourth Proportional to 366,343.84, 505,548.54 and 205,198.48

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Solution

The fourth proportional to 366,343.84, 505,548.54 and 205,198.48 is: 283,170.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,343.84 : 505,548.54 = 205,198.48 : x
  2. Step 2: Convert to fraction form
    366,343.84/505,548.54 = 205,198.48/x
  3. Step 3: Cross multiply
    366,343.84x = 505,548.54 × 205,198.48
  4. Step 4: Simplify right side
    366,343.84x = 103,737,791,974.22
  5. Step 5: Solve for x
    x = 103,737,791,974.22/366,343.84
  6. Step 6: Final answer
    x = 283,170.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.