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Finding the Fourth Proportional to 548,731.29, 822,892.41 and 188,801.49

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Solution

The fourth proportional to 548,731.29, 822,892.41 and 188,801.49 is: 283,131.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,731.29 : 822,892.41 = 188,801.49 : x
  2. Step 2: Convert to fraction form
    548,731.29/822,892.41 = 188,801.49/x
  3. Step 3: Cross multiply
    548,731.29x = 822,892.41 × 188,801.49
  4. Step 4: Simplify right side
    548,731.29x = 155,363,312,020.62
  5. Step 5: Solve for x
    x = 155,363,312,020.62/548,731.29
  6. Step 6: Final answer
    x = 283,131.86

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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.