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Finding the Fourth Proportional to 455,537.85, 682,714.08 and 185,351.12

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Solution

The fourth proportional to 455,537.85, 682,714.08 and 185,351.12 is: 277,785.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,537.85 : 682,714.08 = 185,351.12 : x
  2. Step 2: Convert to fraction form
    455,537.85/682,714.08 = 185,351.12/x
  3. Step 3: Cross multiply
    455,537.85x = 682,714.08 × 185,351.12
  4. Step 4: Simplify right side
    455,537.85x = 126,541,815,954.20
  5. Step 5: Solve for x
    x = 126,541,815,954.20/455,537.85
  6. Step 6: Final answer
    x = 277,785.51

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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.