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Finding the Fourth Proportional to 649,406.43, 974,201.09 and 200,163.51

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Solution

The fourth proportional to 649,406.43, 974,201.09 and 200,163.51 is: 300,273.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,406.43 : 974,201.09 = 200,163.51 : x
  2. Step 2: Convert to fraction form
    649,406.43/974,201.09 = 200,163.51/x
  3. Step 3: Cross multiply
    649,406.43x = 974,201.09 × 200,163.51
  4. Step 4: Simplify right side
    649,406.43x = 194,999,508,619.41
  5. Step 5: Solve for x
    x = 194,999,508,619.41/649,406.43
  6. Step 6: Final answer
    x = 300,273.45

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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.