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Finding the Fourth Proportional to 649,878.36, 974,727.36 and 200,614.02

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Solution

The fourth proportional to 649,878.36, 974,727.36 and 200,614.02 is: 300,893.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,878.36 : 974,727.36 = 200,614.02 : x
  2. Step 2: Convert to fraction form
    649,878.36/974,727.36 = 200,614.02/x
  3. Step 3: Cross multiply
    649,878.36x = 974,727.36 × 200,614.02
  4. Step 4: Simplify right side
    649,878.36x = 195,543,974,093.59
  5. Step 5: Solve for x
    x = 195,543,974,093.59/649,878.36
  6. Step 6: Final answer
    x = 300,893.19

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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.