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Finding the Fourth Proportional to 299,412.09, 449,224.38 and 186,961.95

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Solution

The fourth proportional to 299,412.09, 449,224.38 and 186,961.95 is: 280,509.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,412.09 : 449,224.38 = 186,961.95 : x
  2. Step 2: Convert to fraction form
    299,412.09/449,224.38 = 186,961.95/x
  3. Step 3: Cross multiply
    299,412.09x = 449,224.38 × 186,961.95
  4. Step 4: Simplify right side
    299,412.09x = 83,987,866,072.34
  5. Step 5: Solve for x
    x = 83,987,866,072.34/299,412.09
  6. Step 6: Final answer
    x = 280,509.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.