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Finding the Fourth Proportional to 382,214.28, 573,322.68 and 115,977

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Solution

The fourth proportional to 382,214.28, 573,322.68 and 115,977 is: 173,965.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,214.28 : 573,322.68 = 115,977 : x
  2. Step 2: Convert to fraction form
    382,214.28/573,322.68 = 115,977/x
  3. Step 3: Cross multiply
    382,214.28x = 573,322.68 × 115,977
  4. Step 4: Simplify right side
    382,214.28x = 66,492,244,458.36
  5. Step 5: Solve for x
    x = 66,492,244,458.36/382,214.28
  6. Step 6: Final answer
    x = 173,965.88

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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.