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Finding the Fourth Proportional to 345,796.25, 477,213.41 and 194,893.25

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Solution

The fourth proportional to 345,796.25, 477,213.41 and 194,893.25 is: 268,960.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,796.25 : 477,213.41 = 194,893.25 : x
  2. Step 2: Convert to fraction form
    345,796.25/477,213.41 = 194,893.25/x
  3. Step 3: Cross multiply
    345,796.25x = 477,213.41 × 194,893.25
  4. Step 4: Simplify right side
    345,796.25x = 93,005,671,444.02
  5. Step 5: Solve for x
    x = 93,005,671,444.02/345,796.25
  6. Step 6: Final answer
    x = 268,960.90

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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.