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Finding the Fourth Proportional to 303,970.95, 419,466.85 and 167,997.87

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Solution

The fourth proportional to 303,970.95, 419,466.85 and 167,997.87 is: 231,829.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,970.95 : 419,466.85 = 167,997.87 : x
  2. Step 2: Convert to fraction form
    303,970.95/419,466.85 = 167,997.87/x
  3. Step 3: Cross multiply
    303,970.95x = 419,466.85 × 167,997.87
  4. Step 4: Simplify right side
    303,970.95x = 70,469,537,335.61
  5. Step 5: Solve for x
    x = 70,469,537,335.61/303,970.95
  6. Step 6: Final answer
    x = 231,829.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.