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Finding the Fourth Proportional to 321,852.02, 444,053.14 and 185,868

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Solution

The fourth proportional to 321,852.02, 444,053.14 and 185,868 is: 256,438.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,852.02 : 444,053.14 = 185,868 : x
  2. Step 2: Convert to fraction form
    321,852.02/444,053.14 = 185,868/x
  3. Step 3: Cross multiply
    321,852.02x = 444,053.14 × 185,868
  4. Step 4: Simplify right side
    321,852.02x = 82,535,268,560.85
  5. Step 5: Solve for x
    x = 82,535,268,560.85/321,852.02
  6. Step 6: Final answer
    x = 256,438.56

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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.