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Finding the Fourth Proportional to 356,912.57, 492,553.14 and 195,774.41

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Solution

The fourth proportional to 356,912.57, 492,553.14 and 195,774.41 is: 270,176.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,912.57 : 492,553.14 = 195,774.41 : x
  2. Step 2: Convert to fraction form
    356,912.57/492,553.14 = 195,774.41/x
  3. Step 3: Cross multiply
    356,912.57x = 492,553.14 × 195,774.41
  4. Step 4: Simplify right side
    356,912.57x = 96,429,300,874.38
  5. Step 5: Solve for x
    x = 96,429,300,874.38/356,912.57
  6. Step 6: Final answer
    x = 270,176.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.