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Finding the Fourth Proportional to 329,696.44, 494,539.26 and 105,053.84

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Solution

The fourth proportional to 329,696.44, 494,539.26 and 105,053.84 is: 157,579.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,696.44 : 494,539.26 = 105,053.84 : x
  2. Step 2: Convert to fraction form
    329,696.44/494,539.26 = 105,053.84/x
  3. Step 3: Cross multiply
    329,696.44x = 494,539.26 × 105,053.84
  4. Step 4: Simplify right side
    329,696.44x = 51,953,248,293.76
  5. Step 5: Solve for x
    x = 51,953,248,293.76/329,696.44
  6. Step 6: Final answer
    x = 157,579.04

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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.