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Finding the Fourth Proportional to 551,422.89, 826,682.36 and 196,234.65

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Solution

The fourth proportional to 551,422.89, 826,682.36 and 196,234.65 is: 294,191.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,422.89 : 826,682.36 = 196,234.65 : x
  2. Step 2: Convert to fraction form
    551,422.89/826,682.36 = 196,234.65/x
  3. Step 3: Cross multiply
    551,422.89x = 826,682.36 × 196,234.65
  4. Step 4: Simplify right side
    551,422.89x = 162,223,722,594.60
  5. Step 5: Solve for x
    x = 162,223,722,594.60/551,422.89
  6. Step 6: Final answer
    x = 294,191.13

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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.