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Finding the Fourth Proportional to 345,796.88, 477,214.27 and 194,893.88

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Solution

The fourth proportional to 345,796.88, 477,214.27 and 194,893.88 is: 268,961.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,796.88 : 477,214.27 = 194,893.88 : x
  2. Step 2: Convert to fraction form
    345,796.88/477,214.27 = 194,893.88/x
  3. Step 3: Cross multiply
    345,796.88x = 477,214.27 × 194,893.88
  4. Step 4: Simplify right side
    345,796.88x = 93,006,137,798.36
  5. Step 5: Solve for x
    x = 93,006,137,798.36/345,796.88
  6. Step 6: Final answer
    x = 268,961.76

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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.