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Finding the Fourth Proportional to 294,793.83, 442,114.20 and 84,382.56

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Solution

The fourth proportional to 294,793.83, 442,114.20 and 84,382.56 is: 126,551.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,793.83 : 442,114.20 = 84,382.56 : x
  2. Step 2: Convert to fraction form
    294,793.83/442,114.20 = 84,382.56/x
  3. Step 3: Cross multiply
    294,793.83x = 442,114.20 × 84,382.56
  4. Step 4: Simplify right side
    294,793.83x = 37,306,728,008.35
  5. Step 5: Solve for x
    x = 37,306,728,008.35/294,793.83
  6. Step 6: Final answer
    x = 126,551.93

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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.