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Finding the Fourth Proportional to 325,347.46, 449,259.69 and 204,689.86

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Solution

The fourth proportional to 325,347.46, 449,259.69 and 204,689.86 is: 282,648.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,347.46 : 449,259.69 = 204,689.86 : x
  2. Step 2: Convert to fraction form
    325,347.46/449,259.69 = 204,689.86/x
  3. Step 3: Cross multiply
    325,347.46x = 449,259.69 × 204,689.86
  4. Step 4: Simplify right side
    325,347.46x = 91,958,903,049.74
  5. Step 5: Solve for x
    x = 91,958,903,049.74/325,347.46
  6. Step 6: Final answer
    x = 282,648.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.