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Finding the Fourth Proportional to 557,266.40, 769,014.62 and 327,838.46

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Solution

The fourth proportional to 557,266.40, 769,014.62 and 327,838.46 is: 452,409.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,266.40 : 769,014.62 = 327,838.46 : x
  2. Step 2: Convert to fraction form
    557,266.40/769,014.62 = 327,838.46/x
  3. Step 3: Cross multiply
    557,266.40x = 769,014.62 × 327,838.46
  4. Step 4: Simplify right side
    557,266.40x = 252,112,568,738.29
  5. Step 5: Solve for x
    x = 252,112,568,738.29/557,266.40
  6. Step 6: Final answer
    x = 452,409.42

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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.