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Finding the Fourth Proportional to 591,984.48, 822,449.01 and 584,898.60

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Solution

The fourth proportional to 591,984.48, 822,449.01 and 584,898.60 is: 812,604.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,984.48 : 822,449.01 = 584,898.60 : x
  2. Step 2: Convert to fraction form
    591,984.48/822,449.01 = 584,898.60/x
  3. Step 3: Cross multiply
    591,984.48x = 822,449.01 × 584,898.60
  4. Step 4: Simplify right side
    591,984.48x = 481,049,274,520.39
  5. Step 5: Solve for x
    x = 481,049,274,520.39/591,984.48
  6. Step 6: Final answer
    x = 812,604.54

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.