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Finding the Fourth Proportional to 299,374.28, 413,136.40 and 204,047.45

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Solution

The fourth proportional to 299,374.28, 413,136.40 and 204,047.45 is: 281,585.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,374.28 : 413,136.40 = 204,047.45 : x
  2. Step 2: Convert to fraction form
    299,374.28/413,136.40 = 204,047.45/x
  3. Step 3: Cross multiply
    299,374.28x = 413,136.40 × 204,047.45
  4. Step 4: Simplify right side
    299,374.28x = 84,299,428,922.18
  5. Step 5: Solve for x
    x = 84,299,428,922.18/299,374.28
  6. Step 6: Final answer
    x = 281,585.41

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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.