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Finding the Fourth Proportional to 356,414.16, 491,851.20 and 195,279.24

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Solution

The fourth proportional to 356,414.16, 491,851.20 and 195,279.24 is: 269,485.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,414.16 : 491,851.20 = 195,279.24 : x
  2. Step 2: Convert to fraction form
    356,414.16/491,851.20 = 195,279.24/x
  3. Step 3: Cross multiply
    356,414.16x = 491,851.20 × 195,279.24
  4. Step 4: Simplify right side
    356,414.16x = 96,048,328,529.09
  5. Step 5: Solve for x
    x = 96,048,328,529.09/356,414.16
  6. Step 6: Final answer
    x = 269,485.16

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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.