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Finding the Fourth Proportional to 331,638.60, 497,530.80 and 106,960.80

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Solution

The fourth proportional to 331,638.60, 497,530.80 and 106,960.80 is: 160,464.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,638.60 : 497,530.80 = 106,960.80 : x
  2. Step 2: Convert to fraction form
    331,638.60/497,530.80 = 106,960.80/x
  3. Step 3: Cross multiply
    331,638.60x = 497,530.80 × 106,960.80
  4. Step 4: Simplify right side
    331,638.60x = 53,216,292,392.64
  5. Step 5: Solve for x
    x = 53,216,292,392.64/331,638.60
  6. Step 6: Final answer
    x = 160,464.71

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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.