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Finding the Fourth Proportional to 380,640.96, 525,246.96 and 217,299.52

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Solution

The fourth proportional to 380,640.96, 525,246.96 and 217,299.52 is: 299,851.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,640.96 : 525,246.96 = 217,299.52 : x
  2. Step 2: Convert to fraction form
    380,640.96/525,246.96 = 217,299.52/x
  3. Step 3: Cross multiply
    380,640.96x = 525,246.96 × 217,299.52
  4. Step 4: Simplify right side
    380,640.96x = 114,135,912,289.46
  5. Step 5: Solve for x
    x = 114,135,912,289.46/380,640.96
  6. Step 6: Final answer
    x = 299,851.89

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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.