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Finding the Fourth Proportional to 589,424.50, 813,405.81 and 321,152.50

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Solution

The fourth proportional to 589,424.50, 813,405.81 and 321,152.50 is: 443,190.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,424.50 : 813,405.81 = 321,152.50 : x
  2. Step 2: Convert to fraction form
    589,424.50/813,405.81 = 321,152.50/x
  3. Step 3: Cross multiply
    589,424.50x = 813,405.81 × 321,152.50
  4. Step 4: Simplify right side
    589,424.50x = 261,227,309,396.03
  5. Step 5: Solve for x
    x = 261,227,309,396.03/589,424.50
  6. Step 6: Final answer
    x = 443,190.45

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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.