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Finding the Fourth Proportional to 278,291.67, 384,043.25 and 150,967.27

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Solution

The fourth proportional to 278,291.67, 384,043.25 and 150,967.27 is: 208,335.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,291.67 : 384,043.25 = 150,967.27 : x
  2. Step 2: Convert to fraction form
    278,291.67/384,043.25 = 150,967.27/x
  3. Step 3: Cross multiply
    278,291.67x = 384,043.25 × 150,967.27
  4. Step 4: Simplify right side
    278,291.67x = 57,977,960,367.18
  5. Step 5: Solve for x
    x = 57,977,960,367.18/278,291.67
  6. Step 6: Final answer
    x = 208,335.23

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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.