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Finding the Fourth Proportional to 357,733.34, 493,662.06 and 196,588.34

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Solution

The fourth proportional to 357,733.34, 493,662.06 and 196,588.34 is: 271,286.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,733.34 : 493,662.06 = 196,588.34 : x
  2. Step 2: Convert to fraction form
    357,733.34/493,662.06 = 196,588.34/x
  3. Step 3: Cross multiply
    357,733.34x = 493,662.06 × 196,588.34
  4. Step 4: Simplify right side
    357,733.34x = 97,048,204,896.38
  5. Step 5: Solve for x
    x = 97,048,204,896.38/357,733.34
  6. Step 6: Final answer
    x = 271,286.44

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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.