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Finding the Fourth Proportional to 357,537.92, 493,405.27 and 196,396.57

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Solution

The fourth proportional to 357,537.92, 493,405.27 and 196,396.57 is: 271,028.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,537.92 : 493,405.27 = 196,396.57 : x
  2. Step 2: Convert to fraction form
    357,537.92/493,405.27 = 196,396.57/x
  3. Step 3: Cross multiply
    357,537.92x = 493,405.27 × 196,396.57
  4. Step 4: Simplify right side
    357,537.92x = 96,903,105,266.12
  5. Step 5: Solve for x
    x = 96,903,105,266.12/357,537.92
  6. Step 6: Final answer
    x = 271,028.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.