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Finding the Fourth Proportional to 546,851.25, 820,242.05 and 205,227.27

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Solution

The fourth proportional to 546,851.25, 820,242.05 and 205,227.27 is: 307,827.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,851.25 : 820,242.05 = 205,227.27 : x
  2. Step 2: Convert to fraction form
    546,851.25/820,242.05 = 205,227.27/x
  3. Step 3: Cross multiply
    546,851.25x = 820,242.05 × 205,227.27
  4. Step 4: Simplify right side
    546,851.25x = 168,336,035,634.57
  5. Step 5: Solve for x
    x = 168,336,035,634.57/546,851.25
  6. Step 6: Final answer
    x = 307,827.83

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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.