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Finding the Fourth Proportional to 3,503,847.70, 5,256,755.70 and 1,706,789.80

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Solution

The fourth proportional to 3,503,847.70, 5,256,755.70 and 1,706,789.80 is: 2,560,664.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,503,847.70 : 5,256,755.70 = 1,706,789.80 : x
  2. Step 2: Convert to fraction form
    3,503,847.70/5,256,755.70 = 1,706,789.80/x
  3. Step 3: Cross multiply
    3,503,847.70x = 5,256,755.70 × 1,706,789.80
  4. Step 4: Simplify right side
    3,503,847.70x = 8,972,177,009,851.86
  5. Step 5: Solve for x
    x = 8,972,177,009,851.86/3,503,847.70
  6. Step 6: Final answer
    x = 2,560,664.10

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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.