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Finding the Fourth Proportional to 414,597.44, 621,896.15 and 228,789.92

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Solution

The fourth proportional to 414,597.44, 621,896.15 and 228,789.92 is: 343,184.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,597.44 : 621,896.15 = 228,789.92 : x
  2. Step 2: Convert to fraction form
    414,597.44/621,896.15 = 228,789.92/x
  3. Step 3: Cross multiply
    414,597.44x = 621,896.15 × 228,789.92
  4. Step 4: Simplify right side
    414,597.44x = 142,283,567,869.30
  5. Step 5: Solve for x
    x = 142,283,567,869.30/414,597.44
  6. Step 6: Final answer
    x = 343,184.87

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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.