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Finding the Fourth Proportional to 305,890.48, 422,072.76 and 185,014.72

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Solution

The fourth proportional to 305,890.48, 422,072.76 and 185,014.72 is: 255,286.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,890.48 : 422,072.76 = 185,014.72 : x
  2. Step 2: Convert to fraction form
    305,890.48/422,072.76 = 185,014.72/x
  3. Step 3: Cross multiply
    305,890.48x = 422,072.76 × 185,014.72
  4. Step 4: Simplify right side
    305,890.48x = 78,089,673,511.03
  5. Step 5: Solve for x
    x = 78,089,673,511.03/305,890.48
  6. Step 6: Final answer
    x = 255,286.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.