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Finding the Fourth Proportional to 294,809.30, 442,213.92 and 73,193.30

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Solution

The fourth proportional to 294,809.30, 442,213.92 and 73,193.30 is: 109,789.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,809.30 : 442,213.92 = 73,193.30 : x
  2. Step 2: Convert to fraction form
    294,809.30/442,213.92 = 73,193.30/x
  3. Step 3: Cross multiply
    294,809.30x = 442,213.92 × 73,193.30
  4. Step 4: Simplify right side
    294,809.30x = 32,367,096,110.74
  5. Step 5: Solve for x
    x = 32,367,096,110.74/294,809.30
  6. Step 6: Final answer
    x = 109,789.94

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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.