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Finding the Fourth Proportional to 446,272, 669,446.40 and 113,847.04

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Solution

The fourth proportional to 446,272, 669,446.40 and 113,847.04 is: 170,780.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,272 : 669,446.40 = 113,847.04 : x
  2. Step 2: Convert to fraction form
    446,272/669,446.40 = 113,847.04/x
  3. Step 3: Cross multiply
    446,272x = 669,446.40 × 113,847.04
  4. Step 4: Simplify right side
    446,272x = 76,214,491,078.66
  5. Step 5: Solve for x
    x = 76,214,491,078.66/446,272
  6. Step 6: Final answer
    x = 170,780.36

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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.