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Finding the Fourth Proportional to 543,550.02, 814,822.02 and 206,489.58

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Solution

The fourth proportional to 543,550.02, 814,822.02 and 206,489.58 is: 309,543.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,550.02 : 814,822.02 = 206,489.58 : x
  2. Step 2: Convert to fraction form
    543,550.02/814,822.02 = 206,489.58/x
  3. Step 3: Cross multiply
    543,550.02x = 814,822.02 × 206,489.58
  4. Step 4: Simplify right side
    543,550.02x = 168,252,256,684.55
  5. Step 5: Solve for x
    x = 168,252,256,684.55/543,550.02
  6. Step 6: Final answer
    x = 309,543.28

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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.