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Finding the Fourth Proportional to 299,676.68, 413,457.86 and 213,649.66

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Solution

The fourth proportional to 299,676.68, 413,457.86 and 213,649.66 is: 294,768.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,676.68 : 413,457.86 = 213,649.66 : x
  2. Step 2: Convert to fraction form
    299,676.68/413,457.86 = 213,649.66/x
  3. Step 3: Cross multiply
    299,676.68x = 413,457.86 × 213,649.66
  4. Step 4: Simplify right side
    299,676.68x = 88,335,131,213.33
  5. Step 5: Solve for x
    x = 88,335,131,213.33/299,676.68
  6. Step 6: Final answer
    x = 294,768.12

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