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Finding the Fourth Proportional to 548,692.56, 823,016.88 and 211,588.38

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Solution

The fourth proportional to 548,692.56, 823,016.88 and 211,588.38 is: 317,374.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,692.56 : 823,016.88 = 211,588.38 : x
  2. Step 2: Convert to fraction form
    548,692.56/823,016.88 = 211,588.38/x
  3. Step 3: Cross multiply
    548,692.56x = 823,016.88 × 211,588.38
  4. Step 4: Simplify right side
    548,692.56x = 174,140,808,351.85
  5. Step 5: Solve for x
    x = 174,140,808,351.85/548,692.56
  6. Step 6: Final answer
    x = 317,374.10

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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.