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Finding the Fourth Proportional to 299,897.28, 413,869.38 and 163,940.46

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Solution

The fourth proportional to 299,897.28, 413,869.38 and 163,940.46 is: 226,243.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,897.28 : 413,869.38 = 163,940.46 : x
  2. Step 2: Convert to fraction form
    299,897.28/413,869.38 = 163,940.46/x
  3. Step 3: Cross multiply
    299,897.28x = 413,869.38 × 163,940.46
  4. Step 4: Simplify right side
    299,897.28x = 67,849,936,537.11
  5. Step 5: Solve for x
    x = 67,849,936,537.11/299,897.28
  6. Step 6: Final answer
    x = 226,243.92

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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.