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Finding the Fourth Proportional to 294,439.82, 441,650.31 and 123,751.96

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Solution

The fourth proportional to 294,439.82, 441,650.31 and 123,751.96 is: 185,623.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,439.82 : 441,650.31 = 123,751.96 : x
  2. Step 2: Convert to fraction form
    294,439.82/441,650.31 = 123,751.96/x
  3. Step 3: Cross multiply
    294,439.82x = 441,650.31 × 123,751.96
  4. Step 4: Simplify right side
    294,439.82x = 54,655,091,497.11
  5. Step 5: Solve for x
    x = 54,655,091,497.11/294,439.82
  6. Step 6: Final answer
    x = 185,623.98

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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.