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Finding the Fourth Proportional to 294,942, 442,414.68 and 73,326

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Solution

The fourth proportional to 294,942, 442,414.68 and 73,326 is: 109,989.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,942 : 442,414.68 = 73,326 : x
  2. Step 2: Convert to fraction form
    294,942/442,414.68 = 73,326/x
  3. Step 3: Cross multiply
    294,942x = 442,414.68 × 73,326
  4. Step 4: Simplify right side
    294,942x = 32,440,498,825.68
  5. Step 5: Solve for x
    x = 32,440,498,825.68/294,942
  6. Step 6: Final answer
    x = 109,989.42

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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.