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Finding the Fourth Proportional to 354,694.56, 531,760.32 and 204,765.36

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Solution

The fourth proportional to 354,694.56, 531,760.32 and 204,765.36 is: 306,985.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,694.56 : 531,760.32 = 204,765.36 : x
  2. Step 2: Convert to fraction form
    354,694.56/531,760.32 = 204,765.36/x
  3. Step 3: Cross multiply
    354,694.56x = 531,760.32 × 204,765.36
  4. Step 4: Simplify right side
    354,694.56x = 108,886,093,358.52
  5. Step 5: Solve for x
    x = 108,886,093,358.52/354,694.56
  6. Step 6: Final answer
    x = 306,985.52

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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.