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Finding the Fourth Proportional to 278,292.67, 384,044.63 and 150,968.27

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Solution

The fourth proportional to 278,292.67, 384,044.63 and 150,968.27 is: 208,336.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,292.67 : 384,044.63 = 150,968.27 : x
  2. Step 2: Convert to fraction form
    278,292.67/384,044.63 = 150,968.27/x
  3. Step 3: Cross multiply
    278,292.67x = 384,044.63 × 150,968.27
  4. Step 4: Simplify right side
    278,292.67x = 57,978,553,393.89
  5. Step 5: Solve for x
    x = 57,978,553,393.89/278,292.67
  6. Step 6: Final answer
    x = 208,336.62

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1.5x scale

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.