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Finding the Fourth Proportional to 336,309.30, 464,084.37 and 193,049.46

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Solution

The fourth proportional to 336,309.30, 464,084.37 and 193,049.46 is: 266,395.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,309.30 : 464,084.37 = 193,049.46 : x
  2. Step 2: Convert to fraction form
    336,309.30/464,084.37 = 193,049.46/x
  3. Step 3: Cross multiply
    336,309.30x = 464,084.37 × 193,049.46
  4. Step 4: Simplify right side
    336,309.30x = 89,591,237,022.94
  5. Step 5: Solve for x
    x = 89,591,237,022.94/336,309.30
  6. Step 6: Final answer
    x = 266,395.36

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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.