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Finding the Fourth Proportional to 777,673.31, 1,073,189.22 and 419,977.31

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Solution

The fourth proportional to 777,673.31, 1,073,189.22 and 419,977.31 is: 579,568.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,673.31 : 1,073,189.22 = 419,977.31 : x
  2. Step 2: Convert to fraction form
    777,673.31/1,073,189.22 = 419,977.31/x
  3. Step 3: Cross multiply
    777,673.31x = 1,073,189.22 × 419,977.31
  4. Step 4: Simplify right side
    777,673.31x = 450,715,121,736.60
  5. Step 5: Solve for x
    x = 450,715,121,736.60/777,673.31
  6. Step 6: Final answer
    x = 579,568.72

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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.