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Finding the Fourth Proportional to 358,409.34, 494,586.02 and 197,233.20

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Solution

The fourth proportional to 358,409.34, 494,586.02 and 197,233.20 is: 272,171.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,409.34 : 494,586.02 = 197,233.20 : x
  2. Step 2: Convert to fraction form
    358,409.34/494,586.02 = 197,233.20/x
  3. Step 3: Cross multiply
    358,409.34x = 494,586.02 × 197,233.20
  4. Step 4: Simplify right side
    358,409.34x = 97,548,783,892.95
  5. Step 5: Solve for x
    x = 97,548,783,892.95/358,409.34
  6. Step 6: Final answer
    x = 272,171.43

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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.