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Finding the Fourth Proportional to 264,973.34, 397,450.64 and 75,434.72

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Solution

The fourth proportional to 264,973.34, 397,450.64 and 75,434.72 is: 113,149.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,973.34 : 397,450.64 = 75,434.72 : x
  2. Step 2: Convert to fraction form
    264,973.34/397,450.64 = 75,434.72/x
  3. Step 3: Cross multiply
    264,973.34x = 397,450.64 × 75,434.72
  4. Step 4: Simplify right side
    264,973.34x = 29,981,577,009.67
  5. Step 5: Solve for x
    x = 29,981,577,009.67/264,973.34
  6. Step 6: Final answer
    x = 113,149.41

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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.