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Finding the Fourth Proportional to 551,137.80, 826,706.70 and 196,552.20

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Solution

The fourth proportional to 551,137.80, 826,706.70 and 196,552.20 is: 294,828.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,137.80 : 826,706.70 = 196,552.20 : x
  2. Step 2: Convert to fraction form
    551,137.80/826,706.70 = 196,552.20/x
  3. Step 3: Cross multiply
    551,137.80x = 826,706.70 × 196,552.20
  4. Step 4: Simplify right side
    551,137.80x = 162,491,020,639.74
  5. Step 5: Solve for x
    x = 162,491,020,639.74/551,137.80
  6. Step 6: Final answer
    x = 294,828.30

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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.