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Finding the Fourth Proportional to 496,186, 744,525.16 and 196,659.92

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Solution

The fourth proportional to 496,186, 744,525.16 and 196,659.92 is: 295,087.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,186 : 744,525.16 = 196,659.92 : x
  2. Step 2: Convert to fraction form
    496,186/744,525.16 = 196,659.92/x
  3. Step 3: Cross multiply
    496,186x = 744,525.16 × 196,659.92
  4. Step 4: Simplify right side
    496,186x = 146,418,258,403.59
  5. Step 5: Solve for x
    x = 146,418,258,403.59/496,186
  6. Step 6: Final answer
    x = 295,087.44

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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.