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Finding the Fourth Proportional to 329,968.48, 494,314.96 and 196,954.72

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Solution

The fourth proportional to 329,968.48, 494,314.96 and 196,954.72 is: 295,051.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,968.48 : 494,314.96 = 196,954.72 : x
  2. Step 2: Convert to fraction form
    329,968.48/494,314.96 = 196,954.72/x
  3. Step 3: Cross multiply
    329,968.48x = 494,314.96 × 196,954.72
  4. Step 4: Simplify right side
    329,968.48x = 97,357,664,538.61
  5. Step 5: Solve for x
    x = 97,357,664,538.61/329,968.48
  6. Step 6: Final answer
    x = 295,051.41

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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.