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Finding the Fourth Proportional to 275,330.27, 412,946.13 and 175,193

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Solution

The fourth proportional to 275,330.27, 412,946.13 and 175,193 is: 262,758.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,330.27 : 412,946.13 = 175,193 : x
  2. Step 2: Convert to fraction form
    275,330.27/412,946.13 = 175,193/x
  3. Step 3: Cross multiply
    275,330.27x = 412,946.13 × 175,193
  4. Step 4: Simplify right side
    275,330.27x = 72,345,271,353.09
  5. Step 5: Solve for x
    x = 72,345,271,353.09/275,330.27
  6. Step 6: Final answer
    x = 262,758.15

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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.