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Finding the Fourth Proportional to 455,536.70, 683,305.05 and 206,218.70

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Solution

The fourth proportional to 455,536.70, 683,305.05 and 206,218.70 is: 309,328.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,536.70 : 683,305.05 = 206,218.70 : x
  2. Step 2: Convert to fraction form
    455,536.70/683,305.05 = 206,218.70/x
  3. Step 3: Cross multiply
    455,536.70x = 683,305.05 × 206,218.70
  4. Step 4: Simplify right side
    455,536.70x = 140,910,279,114.44
  5. Step 5: Solve for x
    x = 140,910,279,114.44/455,536.70
  6. Step 6: Final answer
    x = 309,328.05

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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.