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Finding the Fourth Proportional to 274,732.80, 412,099.20 and 195,417.60

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Solution

The fourth proportional to 274,732.80, 412,099.20 and 195,417.60 is: 293,126.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,732.80 : 412,099.20 = 195,417.60 : x
  2. Step 2: Convert to fraction form
    274,732.80/412,099.20 = 195,417.60/x
  3. Step 3: Cross multiply
    274,732.80x = 412,099.20 × 195,417.60
  4. Step 4: Simplify right side
    274,732.80x = 80,531,436,625.92
  5. Step 5: Solve for x
    x = 80,531,436,625.92/274,732.80
  6. Step 6: Final answer
    x = 293,126.40

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1.5x scale

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.