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Finding the Fourth Proportional to 329,286.80, 493,891.32 and 104,646.80

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Solution

The fourth proportional to 329,286.80, 493,891.32 and 104,646.80 is: 156,957.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,286.80 : 493,891.32 = 104,646.80 : x
  2. Step 2: Convert to fraction form
    329,286.80/493,891.32 = 104,646.80/x
  3. Step 3: Cross multiply
    329,286.80x = 493,891.32 × 104,646.80
  4. Step 4: Simplify right side
    329,286.80x = 51,684,146,185.78
  5. Step 5: Solve for x
    x = 51,684,146,185.78/329,286.80
  6. Step 6: Final answer
    x = 156,957.84

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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.