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Finding the Fourth Proportional to 227,842.20, 312,138.63 and 219,323.40

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Solution

The fourth proportional to 227,842.20, 312,138.63 and 219,323.40 is: 300,468.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,842.20 : 312,138.63 = 219,323.40 : x
  2. Step 2: Convert to fraction form
    227,842.20/312,138.63 = 219,323.40/x
  3. Step 3: Cross multiply
    227,842.20x = 312,138.63 × 219,323.40
  4. Step 4: Simplify right side
    227,842.20x = 68,459,305,602.94
  5. Step 5: Solve for x
    x = 68,459,305,602.94/227,842.20
  6. Step 6: Final answer
    x = 300,468.07

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.