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Finding the Fourth Proportional to 649,745.16, 974,709.36 and 200,502.60

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Solution

The fourth proportional to 649,745.16, 974,709.36 and 200,502.60 is: 300,782.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,745.16 : 974,709.36 = 200,502.60 : x
  2. Step 2: Convert to fraction form
    649,745.16/974,709.36 = 200,502.60/x
  3. Step 3: Cross multiply
    649,745.16x = 974,709.36 × 200,502.60
  4. Step 4: Simplify right side
    649,745.16x = 195,431,760,924.34
  5. Step 5: Solve for x
    x = 195,431,760,924.34/649,745.16
  6. Step 6: Final answer
    x = 300,782.17

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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.