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Finding the Fourth Proportional to 649,722.24, 974,288.16 and 200,359.44

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Solution

The fourth proportional to 649,722.24, 974,288.16 and 200,359.44 is: 300,448.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,722.24 : 974,288.16 = 200,359.44 : x
  2. Step 2: Convert to fraction form
    649,722.24/974,288.16 = 200,359.44/x
  3. Step 3: Cross multiply
    649,722.24x = 974,288.16 × 200,359.44
  4. Step 4: Simplify right side
    649,722.24x = 195,207,830,136.23
  5. Step 5: Solve for x
    x = 195,207,830,136.23/649,722.24
  6. Step 6: Final answer
    x = 300,448.13

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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.