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Finding the Fourth Proportional to 321,474.32, 482,243.88 and 84,833.36

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Solution

The fourth proportional to 321,474.32, 482,243.88 and 84,833.36 is: 127,258.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,474.32 : 482,243.88 = 84,833.36 : x
  2. Step 2: Convert to fraction form
    321,474.32/482,243.88 = 84,833.36/x
  3. Step 3: Cross multiply
    321,474.32x = 482,243.88 × 84,833.36
  4. Step 4: Simplify right side
    321,474.32x = 40,910,368,679.84
  5. Step 5: Solve for x
    x = 40,910,368,679.84/321,474.32
  6. Step 6: Final answer
    x = 127,258.59

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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.