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Finding the Fourth Proportional to 311,087.80, 466,977.30 and 192,892.60

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Solution

The fourth proportional to 311,087.80, 466,977.30 and 192,892.60 is: 289,553.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,087.80 : 466,977.30 = 192,892.60 : x
  2. Step 2: Convert to fraction form
    311,087.80/466,977.30 = 192,892.60/x
  3. Step 3: Cross multiply
    311,087.80x = 466,977.30 × 192,892.60
  4. Step 4: Simplify right side
    311,087.80x = 90,076,465,537.98
  5. Step 5: Solve for x
    x = 90,076,465,537.98/311,087.80
  6. Step 6: Final answer
    x = 289,553.19

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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.