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Finding the Fourth Proportional to 644,684.33, 966,797.67 and 189,148.43

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Solution

The fourth proportional to 644,684.33, 966,797.67 and 189,148.43 is: 283,655.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,684.33 : 966,797.67 = 189,148.43 : x
  2. Step 2: Convert to fraction form
    644,684.33/966,797.67 = 189,148.43/x
  3. Step 3: Cross multiply
    644,684.33x = 966,797.67 × 189,148.43
  4. Step 4: Simplify right side
    644,684.33x = 182,868,261,408.16
  5. Step 5: Solve for x
    x = 182,868,261,408.16/644,684.33
  6. Step 6: Final answer
    x = 283,655.51

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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.