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Finding the Fourth Proportional to 278,743.59, 384,453.12 and 240,048.44

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Solution

The fourth proportional to 278,743.59, 384,453.12 and 240,048.44 is: 331,083.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,743.59 : 384,453.12 = 240,048.44 : x
  2. Step 2: Convert to fraction form
    278,743.59/384,453.12 = 240,048.44/x
  3. Step 3: Cross multiply
    278,743.59x = 384,453.12 × 240,048.44
  4. Step 4: Simplify right side
    278,743.59x = 92,287,369,786.87
  5. Step 5: Solve for x
    x = 92,287,369,786.87/278,743.59
  6. Step 6: Final answer
    x = 331,083.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.