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Finding the Fourth Proportional to 344,620.44, 475,597.98 and 193,727.16

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Solution

The fourth proportional to 344,620.44, 475,597.98 and 193,727.16 is: 267,355.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,620.44 : 475,597.98 = 193,727.16 : x
  2. Step 2: Convert to fraction form
    344,620.44/475,597.98 = 193,727.16/x
  3. Step 3: Cross multiply
    344,620.44x = 475,597.98 × 193,727.16
  4. Step 4: Simplify right side
    344,620.44x = 92,136,245,967.14
  5. Step 5: Solve for x
    x = 92,136,245,967.14/344,620.44
  6. Step 6: Final answer
    x = 267,355.72

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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.