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Finding the Fourth Proportional to 649,297.45, 973,946.16 and 175,982.80

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Solution

The fourth proportional to 649,297.45, 973,946.16 and 175,982.80 is: 263,974.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,297.45 : 973,946.16 = 175,982.80 : x
  2. Step 2: Convert to fraction form
    649,297.45/973,946.16 = 175,982.80/x
  3. Step 3: Cross multiply
    649,297.45x = 973,946.16 × 175,982.80
  4. Step 4: Simplify right side
    649,297.45x = 171,397,772,286.05
  5. Step 5: Solve for x
    x = 171,397,772,286.05/649,297.45
  6. Step 6: Final answer
    x = 263,974.20

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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.