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Finding the Fourth Proportional to 547,753.30, 821,939.40 and 295,028.44

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Solution

The fourth proportional to 547,753.30, 821,939.40 and 295,028.44 is: 442,709.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,753.30 : 821,939.40 = 295,028.44 : x
  2. Step 2: Convert to fraction form
    547,753.30/821,939.40 = 295,028.44/x
  3. Step 3: Cross multiply
    547,753.30x = 821,939.40 × 295,028.44
  4. Step 4: Simplify right side
    547,753.30x = 242,495,498,956.54
  5. Step 5: Solve for x
    x = 242,495,498,956.54/547,753.30
  6. Step 6: Final answer
    x = 442,709.33

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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.