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Finding the Fourth Proportional to 457,059.84, 685,730.16 and 204,553.14

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Solution

The fourth proportional to 457,059.84, 685,730.16 and 204,553.14 is: 306,892.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,059.84 : 685,730.16 = 204,553.14 : x
  2. Step 2: Convert to fraction form
    457,059.84/685,730.16 = 204,553.14/x
  3. Step 3: Cross multiply
    457,059.84x = 685,730.16 × 204,553.14
  4. Step 4: Simplify right side
    457,059.84x = 140,268,257,420.70
  5. Step 5: Solve for x
    x = 140,268,257,420.70/457,059.84
  6. Step 6: Final answer
    x = 306,892.54

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Why These Related Problems?

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