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Finding the Fourth Proportional to 432,021.27, 647,975 and 128,408.94

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Solution

The fourth proportional to 432,021.27, 647,975 and 128,408.94 is: 192,596.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,021.27 : 647,975 = 128,408.94 : x
  2. Step 2: Convert to fraction form
    432,021.27/647,975 = 128,408.94/x
  3. Step 3: Cross multiply
    432,021.27x = 647,975 × 128,408.94
  4. Step 4: Simplify right side
    432,021.27x = 83,205,782,896.50
  5. Step 5: Solve for x
    x = 83,205,782,896.50/432,021.27
  6. Step 6: Final answer
    x = 192,596.50

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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.