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Finding the Fourth Proportional to 325,423.36, 449,030.78 and 204,479

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Solution

The fourth proportional to 325,423.36, 449,030.78 and 204,479 is: 282,147.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,423.36 : 449,030.78 = 204,479 : x
  2. Step 2: Convert to fraction form
    325,423.36/449,030.78 = 204,479/x
  3. Step 3: Cross multiply
    325,423.36x = 449,030.78 × 204,479
  4. Step 4: Simplify right side
    325,423.36x = 91,817,364,863.62
  5. Step 5: Solve for x
    x = 91,817,364,863.62/325,423.36
  6. Step 6: Final answer
    x = 282,147.43

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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.