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Finding the Fourth Proportional to 358,221.42, 494,416.22 and 205,362.27

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Solution

The fourth proportional to 358,221.42, 494,416.22 and 205,362.27 is: 283,440.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,221.42 : 494,416.22 = 205,362.27 : x
  2. Step 2: Convert to fraction form
    358,221.42/494,416.22 = 205,362.27/x
  3. Step 3: Cross multiply
    358,221.42x = 494,416.22 × 205,362.27
  4. Step 4: Simplify right side
    358,221.42x = 101,534,436,237.21
  5. Step 5: Solve for x
    x = 101,534,436,237.21/358,221.42
  6. Step 6: Final answer
    x = 283,440.44

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