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Finding the Fourth Proportional to 345,796.60, 477,213.88 and 194,893.60

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Solution

The fourth proportional to 345,796.60, 477,213.88 and 194,893.60 is: 268,961.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,796.60 : 477,213.88 = 194,893.60 : x
  2. Step 2: Convert to fraction form
    345,796.60/477,213.88 = 194,893.60/x
  3. Step 3: Cross multiply
    345,796.60x = 477,213.88 × 194,893.60
  4. Step 4: Simplify right side
    345,796.60x = 93,005,928,657.10
  5. Step 5: Solve for x
    x = 93,005,928,657.10/345,796.60
  6. Step 6: Final answer
    x = 268,961.38

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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.