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Finding the Fourth Proportional to 256,494.57, 353,961.77 and 143,317.41

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Solution

The fourth proportional to 256,494.57, 353,961.77 and 143,317.41 is: 197,777.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,494.57 : 353,961.77 = 143,317.41 : x
  2. Step 2: Convert to fraction form
    256,494.57/353,961.77 = 143,317.41/x
  3. Step 3: Cross multiply
    256,494.57x = 353,961.77 × 143,317.41
  4. Step 4: Simplify right side
    256,494.57x = 50,728,883,398.83
  5. Step 5: Solve for x
    x = 50,728,883,398.83/256,494.57
  6. Step 6: Final answer
    x = 197,777.61

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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.