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Finding the Fourth Proportional to 264,973.21, 397,450.68 and 75,434.74

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Solution

The fourth proportional to 264,973.21, 397,450.68 and 75,434.74 is: 113,149.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,973.21 : 397,450.68 = 75,434.74 : x
  2. Step 2: Convert to fraction form
    264,973.21/397,450.68 = 75,434.74/x
  3. Step 3: Cross multiply
    264,973.21x = 397,450.68 × 75,434.74
  4. Step 4: Simplify right side
    264,973.21x = 29,981,588,708.62
  5. Step 5: Solve for x
    x = 29,981,588,708.62/264,973.21
  6. Step 6: Final answer
    x = 113,149.51

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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.