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Finding the Fourth Proportional to 488,708.10, 733,025.70 and 204,325.20

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Solution

The fourth proportional to 488,708.10, 733,025.70 and 204,325.20 is: 306,472.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,708.10 : 733,025.70 = 204,325.20 : x
  2. Step 2: Convert to fraction form
    488,708.10/733,025.70 = 204,325.20/x
  3. Step 3: Cross multiply
    488,708.10x = 733,025.70 × 204,325.20
  4. Step 4: Simplify right side
    488,708.10x = 149,775,622,757.64
  5. Step 5: Solve for x
    x = 149,775,622,757.64/488,708.10
  6. Step 6: Final answer
    x = 306,472.56

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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.