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Finding the Fourth Proportional to 296,277, 444,415.50 and 74,661

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Solution

The fourth proportional to 296,277, 444,415.50 and 74,661 is: 111,991.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,277 : 444,415.50 = 74,661 : x
  2. Step 2: Convert to fraction form
    296,277/444,415.50 = 74,661/x
  3. Step 3: Cross multiply
    296,277x = 444,415.50 × 74,661
  4. Step 4: Simplify right side
    296,277x = 33,180,505,645.50
  5. Step 5: Solve for x
    x = 33,180,505,645.50/296,277
  6. Step 6: Final answer
    x = 111,991.50

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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.