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Finding the Fourth Proportional to 547,552.32, 821,843.72 and 277,874.09

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Solution

The fourth proportional to 547,552.32, 821,843.72 and 277,874.09 is: 417,072.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,552.32 : 821,843.72 = 277,874.09 : x
  2. Step 2: Convert to fraction form
    547,552.32/821,843.72 = 277,874.09/x
  3. Step 3: Cross multiply
    547,552.32x = 821,843.72 × 277,874.09
  4. Step 4: Simplify right side
    547,552.32x = 228,369,070,318.63
  5. Step 5: Solve for x
    x = 228,369,070,318.63/547,552.32
  6. Step 6: Final answer
    x = 417,072.60

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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.