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Finding the Fourth Proportional to 355,992.92, 491,270.38 and 194,848.02

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Solution

The fourth proportional to 355,992.92, 491,270.38 and 194,848.02 is: 268,890.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,992.92 : 491,270.38 = 194,848.02 : x
  2. Step 2: Convert to fraction form
    355,992.92/491,270.38 = 194,848.02/x
  3. Step 3: Cross multiply
    355,992.92x = 491,270.38 × 194,848.02
  4. Step 4: Simplify right side
    355,992.92x = 95,723,060,827.65
  5. Step 5: Solve for x
    x = 95,723,060,827.65/355,992.92
  6. Step 6: Final answer
    x = 268,890.35

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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.