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Finding the Fourth Proportional to 451,752.96, 677,227.41 and 171,467.04

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Solution

The fourth proportional to 451,752.96, 677,227.41 and 171,467.04 is: 257,047.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,752.96 : 677,227.41 = 171,467.04 : x
  2. Step 2: Convert to fraction form
    451,752.96/677,227.41 = 171,467.04/x
  3. Step 3: Cross multiply
    451,752.96x = 677,227.41 × 171,467.04
  4. Step 4: Simplify right side
    451,752.96x = 116,122,179,399.57
  5. Step 5: Solve for x
    x = 116,122,179,399.57/451,752.96
  6. Step 6: Final answer
    x = 257,047.97

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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.