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Finding the Fourth Proportional to 649,876.64, 974,439.72 and 200,476.84

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Solution

The fourth proportional to 649,876.64, 974,439.72 and 200,476.84 is: 300,599.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,876.64 : 974,439.72 = 200,476.84 : x
  2. Step 2: Convert to fraction form
    649,876.64/974,439.72 = 200,476.84/x
  3. Step 3: Cross multiply
    649,876.64x = 974,439.72 × 200,476.84
  4. Step 4: Simplify right side
    649,876.64x = 195,352,595,836.09
  5. Step 5: Solve for x
    x = 195,352,595,836.09/649,876.64
  6. Step 6: Final answer
    x = 300,599.50

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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.