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Finding the Fourth Proportional to 408,550.37, 612,842.02 and 142,337.84

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Solution

The fourth proportional to 408,550.37, 612,842.02 and 142,337.84 is: 213,512.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,550.37 : 612,842.02 = 142,337.84 : x
  2. Step 2: Convert to fraction form
    408,550.37/612,842.02 = 142,337.84/x
  3. Step 3: Cross multiply
    408,550.37x = 612,842.02 × 142,337.84
  4. Step 4: Simplify right side
    408,550.37x = 87,230,605,967.98
  5. Step 5: Solve for x
    x = 87,230,605,967.98/408,550.37
  6. Step 6: Final answer
    x = 213,512.49

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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.