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Finding the Fourth Proportional to 274,297.58, 411,084.21 and 147,626.54

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Solution

The fourth proportional to 274,297.58, 411,084.21 and 147,626.54 is: 221,244.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,297.58 : 411,084.21 = 147,626.54 : x
  2. Step 2: Convert to fraction form
    274,297.58/411,084.21 = 147,626.54/x
  3. Step 3: Cross multiply
    274,297.58x = 411,084.21 × 147,626.54
  4. Step 4: Simplify right side
    274,297.58x = 60,686,939,570.93
  5. Step 5: Solve for x
    x = 60,686,939,570.93/274,297.58
  6. Step 6: Final answer
    x = 221,244.90

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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.