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Finding the Fourth Proportional to 649,418.40, 974,281.20 and 206,186.40

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Solution

The fourth proportional to 649,418.40, 974,281.20 and 206,186.40 is: 309,328.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,418.40 : 974,281.20 = 206,186.40 : x
  2. Step 2: Convert to fraction form
    649,418.40/974,281.20 = 206,186.40/x
  3. Step 3: Cross multiply
    649,418.40x = 974,281.20 × 206,186.40
  4. Step 4: Simplify right side
    649,418.40x = 200,883,533,215.68
  5. Step 5: Solve for x
    x = 200,883,533,215.68/649,418.40
  6. Step 6: Final answer
    x = 309,328.37

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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.