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Finding the Fourth Proportional to 766,310.13, 1,057,495.43 and 422,178.80

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Solution

The fourth proportional to 766,310.13, 1,057,495.43 and 422,178.80 is: 582,599.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,310.13 : 1,057,495.43 = 422,178.80 : x
  2. Step 2: Convert to fraction form
    766,310.13/1,057,495.43 = 422,178.80/x
  3. Step 3: Cross multiply
    766,310.13x = 1,057,495.43 × 422,178.80
  4. Step 4: Simplify right side
    766,310.13x = 446,452,147,410.85
  5. Step 5: Solve for x
    x = 446,452,147,410.85/766,310.13
  6. Step 6: Final answer
    x = 582,599.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.