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Finding the Fourth Proportional to 471,457.63, 650,625.32 and 256,611.61

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Solution

The fourth proportional to 471,457.63, 650,625.32 and 256,611.61 is: 354,131.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,457.63 : 650,625.32 = 256,611.61 : x
  2. Step 2: Convert to fraction form
    471,457.63/650,625.32 = 256,611.61/x
  3. Step 3: Cross multiply
    471,457.63x = 650,625.32 × 256,611.61
  4. Step 4: Simplify right side
    471,457.63x = 166,958,010,871.97
  5. Step 5: Solve for x
    x = 166,958,010,871.97/471,457.63
  6. Step 6: Final answer
    x = 354,131.53

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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.