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Finding the Fourth Proportional to 551,469.80, 827,204.70 and 461,268.20

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Solution

The fourth proportional to 551,469.80, 827,204.70 and 461,268.20 is: 691,902.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,469.80 : 827,204.70 = 461,268.20 : x
  2. Step 2: Convert to fraction form
    551,469.80/827,204.70 = 461,268.20/x
  3. Step 3: Cross multiply
    551,469.80x = 827,204.70 × 461,268.20
  4. Step 4: Simplify right side
    551,469.80x = 381,563,223,000.54
  5. Step 5: Solve for x
    x = 381,563,223,000.54/551,469.80
  6. Step 6: Final answer
    x = 691,902.30

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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.