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Finding the Fourth Proportional to 683,568, 1,025,321.04 and 210,232.80

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Solution

The fourth proportional to 683,568, 1,025,321.04 and 210,232.80 is: 315,339.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,568 : 1,025,321.04 = 210,232.80 : x
  2. Step 2: Convert to fraction form
    683,568/1,025,321.04 = 210,232.80/x
  3. Step 3: Cross multiply
    683,568x = 1,025,321.04 × 210,232.80
  4. Step 4: Simplify right side
    683,568x = 215,556,113,138.11
  5. Step 5: Solve for x
    x = 215,556,113,138.11/683,568
  6. Step 6: Final answer
    x = 315,339.68

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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.