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Finding the Fourth Proportional to 546,853.26, 820,245.04 and 205,229.28

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Solution

The fourth proportional to 546,853.26, 820,245.04 and 205,229.28 is: 307,830.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,853.26 : 820,245.04 = 205,229.28 : x
  2. Step 2: Convert to fraction form
    546,853.26/820,245.04 = 205,229.28/x
  3. Step 3: Cross multiply
    546,853.26x = 820,245.04 × 205,229.28
  4. Step 4: Simplify right side
    546,853.26x = 168,338,298,982.77
  5. Step 5: Solve for x
    x = 168,338,298,982.77/546,853.26
  6. Step 6: Final answer
    x = 307,830.84

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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.