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Finding the Fourth Proportional to 329,838.40, 494,757.60 and 130,165.30

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Solution

The fourth proportional to 329,838.40, 494,757.60 and 130,165.30 is: 195,247.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,838.40 : 494,757.60 = 130,165.30 : x
  2. Step 2: Convert to fraction form
    329,838.40/494,757.60 = 130,165.30/x
  3. Step 3: Cross multiply
    329,838.40x = 494,757.60 × 130,165.30
  4. Step 4: Simplify right side
    329,838.40x = 64,400,271,431.28
  5. Step 5: Solve for x
    x = 64,400,271,431.28/329,838.40
  6. Step 6: Final answer
    x = 195,247.95

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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.