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Finding the Fourth Proportional to 301,338.24, 416,001.60 and 212,311.68

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Solution

The fourth proportional to 301,338.24, 416,001.60 and 212,311.68 is: 293,099.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,338.24 : 416,001.60 = 212,311.68 : x
  2. Step 2: Convert to fraction form
    301,338.24/416,001.60 = 212,311.68/x
  3. Step 3: Cross multiply
    301,338.24x = 416,001.60 × 212,311.68
  4. Step 4: Simplify right side
    301,338.24x = 88,321,998,578.69
  5. Step 5: Solve for x
    x = 88,321,998,578.69/301,338.24
  6. Step 6: Final answer
    x = 293,099.20

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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.