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Finding the Fourth Proportional to 294,119.64, 441,179.44 and 205,546.14

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Solution

The fourth proportional to 294,119.64, 441,179.44 and 205,546.14 is: 308,319.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,119.64 : 441,179.44 = 205,546.14 : x
  2. Step 2: Convert to fraction form
    294,119.64/441,179.44 = 205,546.14/x
  3. Step 3: Cross multiply
    294,119.64x = 441,179.44 × 205,546.14
  4. Step 4: Simplify right side
    294,119.64x = 90,682,730,425.50
  5. Step 5: Solve for x
    x = 90,682,730,425.50/294,119.64
  6. Step 6: Final answer
    x = 308,319.19

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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.