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Finding the Fourth Proportional to 320,049.36, 480,375.36 and 162,390.96

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Solution

The fourth proportional to 320,049.36, 480,375.36 and 162,390.96 is: 243,739.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,049.36 : 480,375.36 = 162,390.96 : x
  2. Step 2: Convert to fraction form
    320,049.36/480,375.36 = 162,390.96/x
  3. Step 3: Cross multiply
    320,049.36x = 480,375.36 × 162,390.96
  4. Step 4: Simplify right side
    320,049.36x = 78,008,615,870.75
  5. Step 5: Solve for x
    x = 78,008,615,870.75/320,049.36
  6. Step 6: Final answer
    x = 243,739.33

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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.