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Finding the Fourth Proportional to 329,378.95, 493,692.09 and 149,601.49

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Solution

The fourth proportional to 329,378.95, 493,692.09 and 149,601.49 is: 224,231.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,378.95 : 493,692.09 = 149,601.49 : x
  2. Step 2: Convert to fraction form
    329,378.95/493,692.09 = 149,601.49/x
  3. Step 3: Cross multiply
    329,378.95x = 493,692.09 × 149,601.49
  4. Step 4: Simplify right side
    329,378.95x = 73,857,072,265.21
  5. Step 5: Solve for x
    x = 73,857,072,265.21/329,378.95
  6. Step 6: Final answer
    x = 224,231.31

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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.