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Finding the Fourth Proportional to 338,858.83, 508,124.56 and 196,739.84

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Solution

The fourth proportional to 338,858.83, 508,124.56 and 196,739.84 is: 295,014.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,858.83 : 508,124.56 = 196,739.84 : x
  2. Step 2: Convert to fraction form
    338,858.83/508,124.56 = 196,739.84/x
  3. Step 3: Cross multiply
    338,858.83x = 508,124.56 × 196,739.84
  4. Step 4: Simplify right side
    338,858.83x = 99,968,344,634.47
  5. Step 5: Solve for x
    x = 99,968,344,634.47/338,858.83
  6. Step 6: Final answer
    x = 295,014.73

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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.