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Finding the Fourth Proportional to 589,434.26, 813,419.26 and 321,162.26

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Solution

The fourth proportional to 589,434.26, 813,419.26 and 321,162.26 is: 443,203.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,434.26 : 813,419.26 = 321,162.26 : x
  2. Step 2: Convert to fraction form
    589,434.26/813,419.26 = 321,162.26/x
  3. Step 3: Cross multiply
    589,434.26x = 813,419.26 × 321,162.26
  4. Step 4: Simplify right side
    589,434.26x = 261,239,567,869.13
  5. Step 5: Solve for x
    x = 261,239,567,869.13/589,434.26
  6. Step 6: Final answer
    x = 443,203.91

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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.