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Finding the Fourth Proportional to 613,706.22, 920,704.12 and 192,982.10

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Solution

The fourth proportional to 613,706.22, 920,704.12 and 192,982.10 is: 289,518.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,706.22 : 920,704.12 = 192,982.10 : x
  2. Step 2: Convert to fraction form
    613,706.22/920,704.12 = 192,982.10/x
  3. Step 3: Cross multiply
    613,706.22x = 920,704.12 × 192,982.10
  4. Step 4: Simplify right side
    613,706.22x = 177,679,409,470.28
  5. Step 5: Solve for x
    x = 177,679,409,470.28/613,706.22
  6. Step 6: Final answer
    x = 289,518.67

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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.