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Finding the Fourth Proportional to 306,006.40, 458,102.40 and 227,468.80

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Solution

The fourth proportional to 306,006.40, 458,102.40 and 227,468.80 is: 340,528.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,006.40 : 458,102.40 = 227,468.80 : x
  2. Step 2: Convert to fraction form
    306,006.40/458,102.40 = 227,468.80/x
  3. Step 3: Cross multiply
    306,006.40x = 458,102.40 × 227,468.80
  4. Step 4: Simplify right side
    306,006.40x = 104,204,003,205.12
  5. Step 5: Solve for x
    x = 104,204,003,205.12/306,006.40
  6. Step 6: Final answer
    x = 340,528.84

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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.