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Finding the Fourth Proportional to 408,051.35, 612,077.03 and 221,427.35

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Solution

The fourth proportional to 408,051.35, 612,077.03 and 221,427.35 is: 332,141.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,051.35 : 612,077.03 = 221,427.35 : x
  2. Step 2: Convert to fraction form
    408,051.35/612,077.03 = 221,427.35/x
  3. Step 3: Cross multiply
    408,051.35x = 612,077.03 × 221,427.35
  4. Step 4: Simplify right side
    408,051.35x = 135,530,593,641.63
  5. Step 5: Solve for x
    x = 135,530,593,641.63/408,051.35
  6. Step 6: Final answer
    x = 332,141.03

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