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Finding the Fourth Proportional to 451,794.08, 677,714.16 and 171,334.56

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Solution

The fourth proportional to 451,794.08, 677,714.16 and 171,334.56 is: 257,010.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,794.08 : 677,714.16 = 171,334.56 : x
  2. Step 2: Convert to fraction form
    451,794.08/677,714.16 = 171,334.56/x
  3. Step 3: Cross multiply
    451,794.08x = 677,714.16 × 171,334.56
  4. Step 4: Simplify right side
    451,794.08x = 116,115,857,409.37
  5. Step 5: Solve for x
    x = 116,115,857,409.37/451,794.08
  6. Step 6: Final answer
    x = 257,010.58

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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.