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Finding the Fourth Proportional to 294,462, 441,693 and 72,846

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Solution

The fourth proportional to 294,462, 441,693 and 72,846 is: 109,269

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,462 : 441,693 = 72,846 : x
  2. Step 2: Convert to fraction form
    294,462/441,693 = 72,846/x
  3. Step 3: Cross multiply
    294,462x = 441,693 × 72,846
  4. Step 4: Simplify right side
    294,462x = 32,175,568,278
  5. Step 5: Solve for x
    x = 32,175,568,278/294,462
  6. Step 6: Final answer
    x = 109,269

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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.