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Finding the Fourth Proportional to 492,792.94, 739,195.33 and 193,414.51

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Solution

The fourth proportional to 492,792.94, 739,195.33 and 193,414.51 is: 290,124.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,792.94 : 739,195.33 = 193,414.51 : x
  2. Step 2: Convert to fraction form
    492,792.94/739,195.33 = 193,414.51/x
  3. Step 3: Cross multiply
    492,792.94x = 739,195.33 × 193,414.51
  4. Step 4: Simplify right side
    492,792.94x = 142,971,102,546.24
  5. Step 5: Solve for x
    x = 142,971,102,546.24/492,792.94
  6. Step 6: Final answer
    x = 290,124.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.