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Finding the Fourth Proportional to 269,504.30, 404,256.45 and 256,382.30

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Solution

The fourth proportional to 269,504.30, 404,256.45 and 256,382.30 is: 384,573.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,504.30 : 404,256.45 = 256,382.30 : x
  2. Step 2: Convert to fraction form
    269,504.30/404,256.45 = 256,382.30/x
  3. Step 3: Cross multiply
    269,504.30x = 404,256.45 × 256,382.30
  4. Step 4: Simplify right side
    269,504.30x = 103,644,198,440.84
  5. Step 5: Solve for x
    x = 103,644,198,440.84/269,504.30
  6. Step 6: Final answer
    x = 384,573.45

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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.