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Finding the Fourth Proportional to 551,433.10, 827,246.85 and 196,653.10

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Solution

The fourth proportional to 551,433.10, 827,246.85 and 196,653.10 is: 295,014.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,433.10 : 827,246.85 = 196,653.10 : x
  2. Step 2: Convert to fraction form
    551,433.10/827,246.85 = 196,653.10/x
  3. Step 3: Cross multiply
    551,433.10x = 827,246.85 × 196,653.10
  4. Step 4: Simplify right side
    551,433.10x = 162,680,657,517.74
  5. Step 5: Solve for x
    x = 162,680,657,517.74/551,433.10
  6. Step 6: Final answer
    x = 295,014.31

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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.