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Finding the Fourth Proportional to 383,607.14, 575,576.69 and 205,906.64

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Solution

The fourth proportional to 383,607.14, 575,576.69 and 205,906.64 is: 308,949.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,607.14 : 575,576.69 = 205,906.64 : x
  2. Step 2: Convert to fraction form
    383,607.14/575,576.69 = 205,906.64/x
  3. Step 3: Cross multiply
    383,607.14x = 575,576.69 × 205,906.64
  4. Step 4: Simplify right side
    383,607.14x = 118,515,062,300.22
  5. Step 5: Solve for x
    x = 118,515,062,300.22/383,607.14
  6. Step 6: Final answer
    x = 308,949.05

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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.