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Finding the Fourth Proportional to 551,404.10, 827,106.15 and 196,429.70

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Solution

The fourth proportional to 551,404.10, 827,106.15 and 196,429.70 is: 294,644.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,404.10 : 827,106.15 = 196,429.70 : x
  2. Step 2: Convert to fraction form
    551,404.10/827,106.15 = 196,429.70/x
  3. Step 3: Cross multiply
    551,404.10x = 827,106.15 × 196,429.70
  4. Step 4: Simplify right side
    551,404.10x = 162,468,212,912.66
  5. Step 5: Solve for x
    x = 162,468,212,912.66/551,404.10
  6. Step 6: Final answer
    x = 294,644.55

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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.