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Finding the Fourth Proportional to 551,605.70, 827,214.15 and 196,631.30

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Solution

The fourth proportional to 551,605.70, 827,214.15 and 196,631.30 is: 294,877.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,605.70 : 827,214.15 = 196,631.30 : x
  2. Step 2: Convert to fraction form
    551,605.70/827,214.15 = 196,631.30/x
  3. Step 3: Cross multiply
    551,605.70x = 827,214.15 × 196,631.30
  4. Step 4: Simplify right side
    551,605.70x = 162,656,193,692.90
  5. Step 5: Solve for x
    x = 162,656,193,692.90/551,605.70
  6. Step 6: Final answer
    x = 294,877.65

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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.