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Finding the Fourth Proportional to 649,748.16, 974,713.86 and 200,505.60

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Solution

The fourth proportional to 649,748.16, 974,713.86 and 200,505.60 is: 300,786.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,748.16 : 974,713.86 = 200,505.60 : x
  2. Step 2: Convert to fraction form
    649,748.16/974,713.86 = 200,505.60/x
  3. Step 3: Cross multiply
    649,748.16x = 974,713.86 × 200,505.60
  4. Step 4: Simplify right side
    649,748.16x = 195,435,587,327.62
  5. Step 5: Solve for x
    x = 195,435,587,327.62/649,748.16
  6. Step 6: Final answer
    x = 300,786.67

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