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Finding the Fourth Proportional to 405,998.54, 609,059.30 and 294,519.96

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Solution

The fourth proportional to 405,998.54, 609,059.30 and 294,519.96 is: 441,824.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,998.54 : 609,059.30 = 294,519.96 : x
  2. Step 2: Convert to fraction form
    405,998.54/609,059.30 = 294,519.96/x
  3. Step 3: Cross multiply
    405,998.54x = 609,059.30 × 294,519.96
  4. Step 4: Simplify right side
    405,998.54x = 179,380,120,673.63
  5. Step 5: Solve for x
    x = 179,380,120,673.63/405,998.54
  6. Step 6: Final answer
    x = 441,824.55

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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.