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Finding the Fourth Proportional to 329,891.36, 494,396.40 and 171,788.32

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Solution

The fourth proportional to 329,891.36, 494,396.40 and 171,788.32 is: 257,453.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,891.36 : 494,396.40 = 171,788.32 : x
  2. Step 2: Convert to fraction form
    329,891.36/494,396.40 = 171,788.32/x
  3. Step 3: Cross multiply
    329,891.36x = 494,396.40 × 171,788.32
  4. Step 4: Simplify right side
    329,891.36x = 84,931,526,970.05
  5. Step 5: Solve for x
    x = 84,931,526,970.05/329,891.36
  6. Step 6: Final answer
    x = 257,453.02

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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.