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Finding the Fourth Proportional to 408,580.50, 612,873.83 and 142,340.59

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Solution

The fourth proportional to 408,580.50, 612,873.83 and 142,340.59 is: 213,511.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,580.50 : 612,873.83 = 142,340.59 : x
  2. Step 2: Convert to fraction form
    408,580.50/612,873.83 = 142,340.59/x
  3. Step 3: Cross multiply
    408,580.50x = 612,873.83 × 142,340.59
  4. Step 4: Simplify right side
    408,580.50x = 87,236,821,381.43
  5. Step 5: Solve for x
    x = 87,236,821,381.43/408,580.50
  6. Step 6: Final answer
    x = 213,511.96

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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.