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Finding the Fourth Proportional to 497,712.75, 746,571.86 and 123,735.75

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Solution

The fourth proportional to 497,712.75, 746,571.86 and 123,735.75 is: 185,604.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,712.75 : 746,571.86 = 123,735.75 : x
  2. Step 2: Convert to fraction form
    497,712.75/746,571.86 = 123,735.75/x
  3. Step 3: Cross multiply
    497,712.75x = 746,571.86 × 123,735.75
  4. Step 4: Simplify right side
    497,712.75x = 92,377,628,407.32
  5. Step 5: Solve for x
    x = 92,377,628,407.32/497,712.75
  6. Step 6: Final answer
    x = 185,604.30

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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.