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Finding the Fourth Proportional to 813,122.69, 1,219,573.30 and 214,033.68

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Solution

The fourth proportional to 813,122.69, 1,219,573.30 and 214,033.68 is: 321,021.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,122.69 : 1,219,573.30 = 214,033.68 : x
  2. Step 2: Convert to fraction form
    813,122.69/1,219,573.30 = 214,033.68/x
  3. Step 3: Cross multiply
    813,122.69x = 1,219,573.30 × 214,033.68
  4. Step 4: Simplify right side
    813,122.69x = 261,029,761,428.74
  5. Step 5: Solve for x
    x = 261,029,761,428.74/813,122.69
  6. Step 6: Final answer
    x = 321,021.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.