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Finding the Fourth Proportional to 310,910.88, 465,578.64 and 192,222.24

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Solution

The fourth proportional to 310,910.88, 465,578.64 and 192,222.24 is: 287,846.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,910.88 : 465,578.64 = 192,222.24 : x
  2. Step 2: Convert to fraction form
    310,910.88/465,578.64 = 192,222.24/x
  3. Step 3: Cross multiply
    310,910.88x = 465,578.64 × 192,222.24
  4. Step 4: Simplify right side
    310,910.88x = 89,494,569,076.95
  5. Step 5: Solve for x
    x = 89,494,569,076.95/310,910.88
  6. Step 6: Final answer
    x = 287,846.37

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1.5x scale

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.