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Finding the Fourth Proportional to 548,206.50, 822,449.90 and 211,156.70

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Solution

The fourth proportional to 548,206.50, 822,449.90 and 211,156.70 is: 316,789.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,206.50 : 822,449.90 = 211,156.70 : x
  2. Step 2: Convert to fraction form
    548,206.50/822,449.90 = 211,156.70/x
  3. Step 3: Cross multiply
    548,206.50x = 822,449.90 × 211,156.70
  4. Step 4: Simplify right side
    548,206.50x = 173,665,801,631.30
  5. Step 5: Solve for x
    x = 173,665,801,631.30/548,206.50
  6. Step 6: Final answer
    x = 316,789.02

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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.