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Finding the Fourth Proportional to 382,453.84, 573,680.16 and 182,166.80

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Solution

The fourth proportional to 382,453.84, 573,680.16 and 182,166.80 is: 273,249.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,453.84 : 573,680.16 = 182,166.80 : x
  2. Step 2: Convert to fraction form
    382,453.84/573,680.16 = 182,166.80/x
  3. Step 3: Cross multiply
    382,453.84x = 573,680.16 × 182,166.80
  4. Step 4: Simplify right side
    382,453.84x = 104,505,478,970.69
  5. Step 5: Solve for x
    x = 104,505,478,970.69/382,453.84
  6. Step 6: Final answer
    x = 273,249.91

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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.