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Finding the Fourth Proportional to 329,853.40, 494,143.44 and 196,840.06

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Solution

The fourth proportional to 329,853.40, 494,143.44 and 196,840.06 is: 294,880.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,853.40 : 494,143.44 = 196,840.06 : x
  2. Step 2: Convert to fraction form
    329,853.40/494,143.44 = 196,840.06/x
  3. Step 3: Cross multiply
    329,853.40x = 494,143.44 × 196,840.06
  4. Step 4: Simplify right side
    329,853.40x = 97,267,224,378.21
  5. Step 5: Solve for x
    x = 97,267,224,378.21/329,853.40
  6. Step 6: Final answer
    x = 294,880.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.