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Finding the Fourth Proportional to 767,171.84, 1,150,716 and 234,692.84

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Solution

The fourth proportional to 767,171.84, 1,150,716 and 234,692.84 is: 352,026.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,171.84 : 1,150,716 = 234,692.84 : x
  2. Step 2: Convert to fraction form
    767,171.84/1,150,716 = 234,692.84/x
  3. Step 3: Cross multiply
    767,171.84x = 1,150,716 × 234,692.84
  4. Step 4: Simplify right side
    767,171.84x = 270,064,806,073.44
  5. Step 5: Solve for x
    x = 270,064,806,073.44/767,171.84
  6. Step 6: Final answer
    x = 352,026.48

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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.