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Finding the Fourth Proportional to 361,069, 498,292.34 and 217,825.96

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Solution

The fourth proportional to 361,069, 498,292.34 and 217,825.96 is: 300,610.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,069 : 498,292.34 = 217,825.96 : x
  2. Step 2: Convert to fraction form
    361,069/498,292.34 = 217,825.96/x
  3. Step 3: Cross multiply
    361,069x = 498,292.34 × 217,825.96
  4. Step 4: Simplify right side
    361,069x = 108,541,007,321.15
  5. Step 5: Solve for x
    x = 108,541,007,321.15/361,069
  6. Step 6: Final answer
    x = 300,610.15

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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.