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Finding the Fourth Proportional to 294,497.41, 441,768.50 and 114,505.51

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Solution

The fourth proportional to 294,497.41, 441,768.50 and 114,505.51 is: 171,766.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,497.41 : 441,768.50 = 114,505.51 : x
  2. Step 2: Convert to fraction form
    294,497.41/441,768.50 = 114,505.51/x
  3. Step 3: Cross multiply
    294,497.41x = 441,768.50 × 114,505.51
  4. Step 4: Simplify right side
    294,497.41x = 50,584,927,394.44
  5. Step 5: Solve for x
    x = 50,584,927,394.44/294,497.41
  6. Step 6: Final answer
    x = 171,766.97

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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.