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Finding the Fourth Proportional to 3,446,838, 5,170,257 and 922,427.64

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Solution

The fourth proportional to 3,446,838, 5,170,257 and 922,427.64 is: 1,383,641.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446,838 : 5,170,257 = 922,427.64 : x
  2. Step 2: Convert to fraction form
    3,446,838/5,170,257 = 922,427.64/x
  3. Step 3: Cross multiply
    3,446,838x = 5,170,257 × 922,427.64
  4. Step 4: Simplify right side
    3,446,838x = 4,769,187,962,703.48
  5. Step 5: Solve for x
    x = 4,769,187,962,703.48/3,446,838
  6. Step 6: Final answer
    x = 1,383,641.46

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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.