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Finding the Fourth Proportional to 331,563.67, 497,442.53 and 106,919.60

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Solution

The fourth proportional to 331,563.67, 497,442.53 and 106,919.60 is: 160,410.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,563.67 : 497,442.53 = 106,919.60 : x
  2. Step 2: Convert to fraction form
    331,563.67/497,442.53 = 106,919.60/x
  3. Step 3: Cross multiply
    331,563.67x = 497,442.53 × 106,919.60
  4. Step 4: Simplify right side
    331,563.67x = 53,186,354,110.67
  5. Step 5: Solve for x
    x = 53,186,354,110.67/331,563.67
  6. Step 6: Final answer
    x = 160,410.68

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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.