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Finding the Fourth Proportional to 275,098.40, 412,647.60 and 205,114.40

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Solution

The fourth proportional to 275,098.40, 412,647.60 and 205,114.40 is: 307,671.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,098.40 : 412,647.60 = 205,114.40 : x
  2. Step 2: Convert to fraction form
    275,098.40/412,647.60 = 205,114.40/x
  3. Step 3: Cross multiply
    275,098.40x = 412,647.60 × 205,114.40
  4. Step 4: Simplify right side
    275,098.40x = 84,639,964,885.44
  5. Step 5: Solve for x
    x = 84,639,964,885.44/275,098.40
  6. Step 6: Final answer
    x = 307,671.60

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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.