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Finding the Fourth Proportional to 256,438.23, 384,313.50 and 199,580.79

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Solution

The fourth proportional to 256,438.23, 384,313.50 and 199,580.79 is: 299,103.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,438.23 : 384,313.50 = 199,580.79 : x
  2. Step 2: Convert to fraction form
    256,438.23/384,313.50 = 199,580.79/x
  3. Step 3: Cross multiply
    256,438.23x = 384,313.50 × 199,580.79
  4. Step 4: Simplify right side
    256,438.23x = 76,701,591,937.67
  5. Step 5: Solve for x
    x = 76,701,591,937.67/256,438.23
  6. Step 6: Final answer
    x = 299,103.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.