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Finding the Fourth Proportional to 306,257.60, 458,511.60 and 274,764.80

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Solution

The fourth proportional to 306,257.60, 458,511.60 and 274,764.80 is: 411,362.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,257.60 : 458,511.60 = 274,764.80 : x
  2. Step 2: Convert to fraction form
    306,257.60/458,511.60 = 274,764.80/x
  3. Step 3: Cross multiply
    306,257.60x = 458,511.60 × 274,764.80
  4. Step 4: Simplify right side
    306,257.60x = 125,982,848,071.68
  5. Step 5: Solve for x
    x = 125,982,848,071.68/306,257.60
  6. Step 6: Final answer
    x = 411,362.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.