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Finding the Fourth Proportional to 355,998.41, 491,276.99 and 194,852.05

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Solution

The fourth proportional to 355,998.41, 491,276.99 and 194,852.05 is: 268,895.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,998.41 : 491,276.99 = 194,852.05 : x
  2. Step 2: Convert to fraction form
    355,998.41/491,276.99 = 194,852.05/x
  3. Step 3: Cross multiply
    355,998.41x = 491,276.99 × 194,852.05
  4. Step 4: Simplify right side
    355,998.41x = 95,726,326,416.88
  5. Step 5: Solve for x
    x = 95,726,326,416.88/355,998.41
  6. Step 6: Final answer
    x = 268,895.38

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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.