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Finding the Fourth Proportional to 455,148.36, 682,919.37 and 174,600

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Solution

The fourth proportional to 455,148.36, 682,919.37 and 174,600 is: 261,975.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,148.36 : 682,919.37 = 174,600 : x
  2. Step 2: Convert to fraction form
    455,148.36/682,919.37 = 174,600/x
  3. Step 3: Cross multiply
    455,148.36x = 682,919.37 × 174,600
  4. Step 4: Simplify right side
    455,148.36x = 119,237,722,002
  5. Step 5: Solve for x
    x = 119,237,722,002/455,148.36
  6. Step 6: Final answer
    x = 261,975.51

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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.