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Finding the Fourth Proportional to 543,175.74, 814,772.07 and 206,127.36

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Solution

The fourth proportional to 543,175.74, 814,772.07 and 206,127.36 is: 309,194.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,175.74 : 814,772.07 = 206,127.36 : x
  2. Step 2: Convert to fraction form
    543,175.74/814,772.07 = 206,127.36/x
  3. Step 3: Cross multiply
    543,175.74x = 814,772.07 × 206,127.36
  4. Step 4: Simplify right side
    543,175.74x = 167,946,815,790.84
  5. Step 5: Solve for x
    x = 167,946,815,790.84/543,175.74
  6. Step 6: Final answer
    x = 309,194.25

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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.