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Finding the Fourth Proportional to 405,408.06, 559,511.79 and 235,642.20

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Solution

The fourth proportional to 405,408.06, 559,511.79 and 235,642.20 is: 325,214.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,408.06 : 559,511.79 = 235,642.20 : x
  2. Step 2: Convert to fraction form
    405,408.06/559,511.79 = 235,642.20/x
  3. Step 3: Cross multiply
    405,408.06x = 559,511.79 × 235,642.20
  4. Step 4: Simplify right side
    405,408.06x = 131,844,589,121.54
  5. Step 5: Solve for x
    x = 131,844,589,121.54/405,408.06
  6. Step 6: Final answer
    x = 325,214.52

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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.