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Finding the Fourth Proportional to 649,297.54, 973,946.31 and 175,982.90

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Solution

The fourth proportional to 649,297.54, 973,946.31 and 175,982.90 is: 263,974.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,297.54 : 973,946.31 = 175,982.90 : x
  2. Step 2: Convert to fraction form
    649,297.54/973,946.31 = 175,982.90/x
  3. Step 3: Cross multiply
    649,297.54x = 973,946.31 × 175,982.90
  4. Step 4: Simplify right side
    649,297.54x = 171,397,891,538.34
  5. Step 5: Solve for x
    x = 171,397,891,538.34/649,297.54
  6. Step 6: Final answer
    x = 263,974.34

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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.