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Finding the Fourth Proportional to 382,469.82, 573,716.88 and 116,232.63

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Solution

The fourth proportional to 382,469.82, 573,716.88 and 116,232.63 is: 174,352.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,469.82 : 573,716.88 = 116,232.63 : x
  2. Step 2: Convert to fraction form
    382,469.82/573,716.88 = 116,232.63/x
  3. Step 3: Cross multiply
    382,469.82x = 573,716.88 × 116,232.63
  4. Step 4: Simplify right side
    382,469.82x = 66,684,621,837.79
  5. Step 5: Solve for x
    x = 66,684,621,837.79/382,469.82
  6. Step 6: Final answer
    x = 174,352.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.