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Finding the Fourth Proportional to 548,230.05, 822,415.92 and 211,367.04

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Solution

The fourth proportional to 548,230.05, 822,415.92 and 211,367.04 is: 317,077.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,230.05 : 822,415.92 = 211,367.04 : x
  2. Step 2: Convert to fraction form
    548,230.05/822,415.92 = 211,367.04/x
  3. Step 3: Cross multiply
    548,230.05x = 822,415.92 × 211,367.04
  4. Step 4: Simplify right side
    548,230.05x = 173,831,618,659.28
  5. Step 5: Solve for x
    x = 173,831,618,659.28/548,230.05
  6. Step 6: Final answer
    x = 317,077.87

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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.