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Finding the Fourth Proportional to 768,651.36, 1,152,972.72 and 263,216.76

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Solution

The fourth proportional to 768,651.36, 1,152,972.72 and 263,216.76 is: 394,823.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,651.36 : 1,152,972.72 = 263,216.76 : x
  2. Step 2: Convert to fraction form
    768,651.36/1,152,972.72 = 263,216.76/x
  3. Step 3: Cross multiply
    768,651.36x = 1,152,972.72 × 263,216.76
  4. Step 4: Simplify right side
    768,651.36x = 303,481,743,726.79
  5. Step 5: Solve for x
    x = 303,481,743,726.79/768,651.36
  6. Step 6: Final answer
    x = 394,823.66

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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.