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Finding the Fourth Proportional to 264,370.36, 396,419.46 and 106,556.44

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Solution

The fourth proportional to 264,370.36, 396,419.46 and 106,556.44 is: 159,779.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,370.36 : 396,419.46 = 106,556.44 : x
  2. Step 2: Convert to fraction form
    264,370.36/396,419.46 = 106,556.44/x
  3. Step 3: Cross multiply
    264,370.36x = 396,419.46 × 106,556.44
  4. Step 4: Simplify right side
    264,370.36x = 42,241,046,404.32
  5. Step 5: Solve for x
    x = 42,241,046,404.32/264,370.36
  6. Step 6: Final answer
    x = 159,779.81

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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.