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Finding the Fourth Proportional to 492,744.40, 739,408.20 and 324,750.40

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Solution

The fourth proportional to 492,744.40, 739,408.20 and 324,750.40 is: 487,317.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,744.40 : 739,408.20 = 324,750.40 : x
  2. Step 2: Convert to fraction form
    492,744.40/739,408.20 = 324,750.40/x
  3. Step 3: Cross multiply
    492,744.40x = 739,408.20 × 324,750.40
  4. Step 4: Simplify right side
    492,744.40x = 240,123,108,713.28
  5. Step 5: Solve for x
    x = 240,123,108,713.28/492,744.40
  6. Step 6: Final answer
    x = 487,317.78

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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.