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Finding the Fourth Proportional to 497,715.75, 746,576.36 and 123,738.75

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Solution

The fourth proportional to 497,715.75, 746,576.36 and 123,738.75 is: 185,608.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,715.75 : 746,576.36 = 123,738.75 : x
  2. Step 2: Convert to fraction form
    497,715.75/746,576.36 = 123,738.75/x
  3. Step 3: Cross multiply
    497,715.75x = 746,576.36 × 123,738.75
  4. Step 4: Simplify right side
    497,715.75x = 92,380,425,411.28
  5. Step 5: Solve for x
    x = 92,380,425,411.28/497,715.75
  6. Step 6: Final answer
    x = 185,608.80

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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.