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Finding the Fourth Proportional to 589,284.12, 813,212.22 and 321,012.12

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Solution

The fourth proportional to 589,284.12, 813,212.22 and 321,012.12 is: 442,996.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,284.12 : 813,212.22 = 321,012.12 : x
  2. Step 2: Convert to fraction form
    589,284.12/813,212.22 = 321,012.12/x
  3. Step 3: Cross multiply
    589,284.12x = 813,212.22 × 321,012.12
  4. Step 4: Simplify right side
    589,284.12x = 261,050,978,752.11
  5. Step 5: Solve for x
    x = 261,050,978,752.11/589,284.12
  6. Step 6: Final answer
    x = 442,996.80

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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.