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Finding the Fourth Proportional to 294,198.84, 441,298.44 and 205,625.28

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Solution

The fourth proportional to 294,198.84, 441,298.44 and 205,625.28 is: 308,438.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,198.84 : 441,298.44 = 205,625.28 : x
  2. Step 2: Convert to fraction form
    294,198.84/441,298.44 = 205,625.28/x
  3. Step 3: Cross multiply
    294,198.84x = 441,298.44 × 205,625.28
  4. Step 4: Simplify right side
    294,198.84x = 90,742,115,288.56
  5. Step 5: Solve for x
    x = 90,742,115,288.56/294,198.84
  6. Step 6: Final answer
    x = 308,438.05

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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.