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Finding the Fourth Proportional to 262,683.72, 362,507.94 and 149,517

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Solution

The fourth proportional to 262,683.72, 362,507.94 and 149,517 is: 206,335.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,683.72 : 362,507.94 = 149,517 : x
  2. Step 2: Convert to fraction form
    262,683.72/362,507.94 = 149,517/x
  3. Step 3: Cross multiply
    262,683.72x = 362,507.94 × 149,517
  4. Step 4: Simplify right side
    262,683.72x = 54,201,099,664.98
  5. Step 5: Solve for x
    x = 54,201,099,664.98/262,683.72
  6. Step 6: Final answer
    x = 206,335.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.