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Finding the Fourth Proportional to 455,093.48, 682,944.94 and 188,854.26

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Solution

The fourth proportional to 455,093.48, 682,944.94 and 188,854.26 is: 283,407.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,093.48 : 682,944.94 = 188,854.26 : x
  2. Step 2: Convert to fraction form
    455,093.48/682,944.94 = 188,854.26/x
  3. Step 3: Cross multiply
    455,093.48x = 682,944.94 × 188,854.26
  4. Step 4: Simplify right side
    455,093.48x = 128,977,061,264.44
  5. Step 5: Solve for x
    x = 128,977,061,264.44/455,093.48
  6. Step 6: Final answer
    x = 283,407.84

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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.