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Finding the Fourth Proportional to 694,568, 1,040,503.93 and 511,867

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Solution

The fourth proportional to 694,568, 1,040,503.93 and 511,867 is: 766,807.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,568 : 1,040,503.93 = 511,867 : x
  2. Step 2: Convert to fraction form
    694,568/1,040,503.93 = 511,867/x
  3. Step 3: Cross multiply
    694,568x = 1,040,503.93 × 511,867
  4. Step 4: Simplify right side
    694,568x = 532,599,625,137.31
  5. Step 5: Solve for x
    x = 532,599,625,137.31/694,568
  6. Step 6: Final answer
    x = 766,807.03

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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.