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Finding the Fourth Proportional to 294,223.49, 441,335.24 and 83,855.96

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Solution

The fourth proportional to 294,223.49, 441,335.24 and 83,855.96 is: 125,783.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,223.49 : 441,335.24 = 83,855.96 : x
  2. Step 2: Convert to fraction form
    294,223.49/441,335.24 = 83,855.96/x
  3. Step 3: Cross multiply
    294,223.49x = 441,335.24 × 83,855.96
  4. Step 4: Simplify right side
    294,223.49x = 37,008,589,575.54
  5. Step 5: Solve for x
    x = 37,008,589,575.54/294,223.49
  6. Step 6: Final answer
    x = 125,783.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.