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Finding the Fourth Proportional to 297,493.75, 446,240.63 and 75,877.75

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Solution

The fourth proportional to 297,493.75, 446,240.63 and 75,877.75 is: 113,816.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,493.75 : 446,240.63 = 75,877.75 : x
  2. Step 2: Convert to fraction form
    297,493.75/446,240.63 = 75,877.75/x
  3. Step 3: Cross multiply
    297,493.75x = 446,240.63 × 75,877.75
  4. Step 4: Simplify right side
    297,493.75x = 33,859,734,583.59
  5. Step 5: Solve for x
    x = 33,859,734,583.59/297,493.75
  6. Step 6: Final answer
    x = 113,816.63

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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.