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Finding the Fourth Proportional to 589,412.92, 813,458.97 and 331,290.22

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Solution

The fourth proportional to 589,412.92, 813,458.97 and 331,290.22 is: 457,219.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,412.92 : 813,458.97 = 331,290.22 : x
  2. Step 2: Convert to fraction form
    589,412.92/813,458.97 = 331,290.22/x
  3. Step 3: Cross multiply
    589,412.92x = 813,458.97 × 331,290.22
  4. Step 4: Simplify right side
    589,412.92x = 269,491,001,132.27
  5. Step 5: Solve for x
    x = 269,491,001,132.27/589,412.92
  6. Step 6: Final answer
    x = 457,219.37

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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.