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Finding the Fourth Proportional to 274,707.30, 412,692.47 and 193,840.44

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Solution

The fourth proportional to 274,707.30, 412,692.47 and 193,840.44 is: 291,206.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,707.30 : 412,692.47 = 193,840.44 : x
  2. Step 2: Convert to fraction form
    274,707.30/412,692.47 = 193,840.44/x
  3. Step 3: Cross multiply
    274,707.30x = 412,692.47 × 193,840.44
  4. Step 4: Simplify right side
    274,707.30x = 79,996,489,969.49
  5. Step 5: Solve for x
    x = 79,996,489,969.49/274,707.30
  6. Step 6: Final answer
    x = 291,206.28

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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.