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Finding the Fourth Proportional to 325,684.40, 449,392.14 and 204,740.06

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Solution

The fourth proportional to 325,684.40, 449,392.14 and 204,740.06 is: 282,508.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,684.40 : 449,392.14 = 204,740.06 : x
  2. Step 2: Convert to fraction form
    325,684.40/449,392.14 = 204,740.06/x
  3. Step 3: Cross multiply
    325,684.40x = 449,392.14 × 204,740.06
  4. Step 4: Simplify right side
    325,684.40x = 92,008,571,460.17
  5. Step 5: Solve for x
    x = 92,008,571,460.17/325,684.40
  6. Step 6: Final answer
    x = 282,508.38

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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.