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Finding the Fourth Proportional to 455,093.93, 682,738.10 and 174,608.75

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Solution

The fourth proportional to 455,093.93, 682,738.10 and 174,608.75 is: 261,950.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,093.93 : 682,738.10 = 174,608.75 : x
  2. Step 2: Convert to fraction form
    455,093.93/682,738.10 = 174,608.75/x
  3. Step 3: Cross multiply
    455,093.93x = 682,738.10 × 174,608.75
  4. Step 4: Simplify right side
    455,093.93x = 119,212,046,218.38
  5. Step 5: Solve for x
    x = 119,212,046,218.38/455,093.93
  6. Step 6: Final answer
    x = 261,950.42

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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.