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Finding the Fourth Proportional to 298,660.50, 447,835.22 and 140,846.58

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Solution

The fourth proportional to 298,660.50, 447,835.22 and 140,846.58 is: 211,196.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,660.50 : 447,835.22 = 140,846.58 : x
  2. Step 2: Convert to fraction form
    298,660.50/447,835.22 = 140,846.58/x
  3. Step 3: Cross multiply
    298,660.50x = 447,835.22 × 140,846.58
  4. Step 4: Simplify right side
    298,660.50x = 63,076,059,140.55
  5. Step 5: Solve for x
    x = 63,076,059,140.55/298,660.50
  6. Step 6: Final answer
    x = 211,196.52

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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.