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Finding the Fourth Proportional to 294,794.83, 442,115.70 and 84,383.56

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Solution

The fourth proportional to 294,794.83, 442,115.70 and 84,383.56 is: 126,553.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,794.83 : 442,115.70 = 84,383.56 : x
  2. Step 2: Convert to fraction form
    294,794.83/442,115.70 = 84,383.56/x
  3. Step 3: Cross multiply
    294,794.83x = 442,115.70 × 84,383.56
  4. Step 4: Simplify right side
    294,794.83x = 37,307,296,697.89
  5. Step 5: Solve for x
    x = 37,307,296,697.89/294,794.83
  6. Step 6: Final answer
    x = 126,553.43

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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.