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Finding the Fourth Proportional to 512,051.85, 706,616.87 and 285,692.49

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Solution

The fourth proportional to 512,051.85, 706,616.87 and 285,692.49 is: 394,247.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,051.85 : 706,616.87 = 285,692.49 : x
  2. Step 2: Convert to fraction form
    512,051.85/706,616.87 = 285,692.49/x
  3. Step 3: Cross multiply
    512,051.85x = 706,616.87 × 285,692.49
  4. Step 4: Simplify right side
    512,051.85x = 201,875,131,637.84
  5. Step 5: Solve for x
    x = 201,875,131,637.84/512,051.85
  6. Step 6: Final answer
    x = 394,247.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.