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Finding the Fourth Proportional to 649,121.44, 971,313.84 and 383,009.44

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Solution

The fourth proportional to 649,121.44, 971,313.84 and 383,009.44 is: 573,116.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,121.44 : 971,313.84 = 383,009.44 : x
  2. Step 2: Convert to fraction form
    649,121.44/971,313.84 = 383,009.44/x
  3. Step 3: Cross multiply
    649,121.44x = 971,313.84 × 383,009.44
  4. Step 4: Simplify right side
    649,121.44x = 372,022,369,922.65
  5. Step 5: Solve for x
    x = 372,022,369,922.65/649,121.44
  6. Step 6: Final answer
    x = 573,116.75

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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.