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Finding the Fourth Proportional to 174,966, 262,449 and 43,638

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Solution

The fourth proportional to 174,966, 262,449 and 43,638 is: 65,457

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,966 : 262,449 = 43,638 : x
  2. Step 2: Convert to fraction form
    174,966/262,449 = 43,638/x
  3. Step 3: Cross multiply
    174,966x = 262,449 × 43,638
  4. Step 4: Simplify right side
    174,966x = 11,452,749,462
  5. Step 5: Solve for x
    x = 11,452,749,462/174,966
  6. Step 6: Final answer
    x = 65,457

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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.