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Finding the Fourth Proportional to 649,877.36, 974,725.86 and 200,613.02

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Solution

The fourth proportional to 649,877.36, 974,725.86 and 200,613.02 is: 300,891.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,877.36 : 974,725.86 = 200,613.02 : x
  2. Step 2: Convert to fraction form
    649,877.36/974,725.86 = 200,613.02/x
  3. Step 3: Cross multiply
    649,877.36x = 974,725.86 × 200,613.02
  4. Step 4: Simplify right side
    649,877.36x = 195,542,698,446.70
  5. Step 5: Solve for x
    x = 195,542,698,446.70/649,877.36
  6. Step 6: Final answer
    x = 300,891.69

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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.