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Finding the Fourth Proportional to 275,823.40, 413,735.10 and 205,839.40

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Solution

The fourth proportional to 275,823.40, 413,735.10 and 205,839.40 is: 308,759.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,823.40 : 413,735.10 = 205,839.40 : x
  2. Step 2: Convert to fraction form
    275,823.40/413,735.10 = 205,839.40/x
  3. Step 3: Cross multiply
    275,823.40x = 413,735.10 × 205,839.40
  4. Step 4: Simplify right side
    275,823.40x = 85,162,984,742.94
  5. Step 5: Solve for x
    x = 85,162,984,742.94/275,823.40
  6. Step 6: Final answer
    x = 308,759.10

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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.