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Finding the Fourth Proportional to 200,446.26, 300,724.74 and 178,413.60

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Solution

The fourth proportional to 200,446.26, 300,724.74 and 178,413.60 is: 267,669.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,446.26 : 300,724.74 = 178,413.60 : x
  2. Step 2: Convert to fraction form
    200,446.26/300,724.74 = 178,413.60/x
  3. Step 3: Cross multiply
    200,446.26x = 300,724.74 × 178,413.60
  4. Step 4: Simplify right side
    200,446.26x = 53,653,383,472.46
  5. Step 5: Solve for x
    x = 53,653,383,472.46/200,446.26
  6. Step 6: Final answer
    x = 267,669.67

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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.