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Finding the Fourth Proportional to 548,219.24, 822,468.96 and 211,169.43

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Solution

The fourth proportional to 548,219.24, 822,468.96 and 211,169.43 is: 316,808.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,219.24 : 822,468.96 = 211,169.43 : x
  2. Step 2: Convert to fraction form
    548,219.24/822,468.96 = 211,169.43/x
  3. Step 3: Cross multiply
    548,219.24x = 822,468.96 × 211,169.43
  4. Step 4: Simplify right side
    548,219.24x = 173,680,302,069.81
  5. Step 5: Solve for x
    x = 173,680,302,069.81/548,219.24
  6. Step 6: Final answer
    x = 316,808.11

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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.