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Finding the Fourth Proportional to 414,144.54, 570,109.05 and 306,511.74

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Solution

The fourth proportional to 414,144.54, 570,109.05 and 306,511.74 is: 421,942.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,144.54 : 570,109.05 = 306,511.74 : x
  2. Step 2: Convert to fraction form
    414,144.54/570,109.05 = 306,511.74/x
  3. Step 3: Cross multiply
    414,144.54x = 570,109.05 × 306,511.74
  4. Step 4: Simplify right side
    414,144.54x = 174,745,116,905.25
  5. Step 5: Solve for x
    x = 174,745,116,905.25/414,144.54
  6. Step 6: Final answer
    x = 421,942.34

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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.