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Finding the Fourth Proportional to 355,946.43, 491,199.50 and 194,798.24

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Solution

The fourth proportional to 355,946.43, 491,199.50 and 194,798.24 is: 268,817.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,946.43 : 491,199.50 = 194,798.24 : x
  2. Step 2: Convert to fraction form
    355,946.43/491,199.50 = 194,798.24/x
  3. Step 3: Cross multiply
    355,946.43x = 491,199.50 × 194,798.24
  4. Step 4: Simplify right side
    355,946.43x = 95,684,796,119.88
  5. Step 5: Solve for x
    x = 95,684,796,119.88/355,946.43
  6. Step 6: Final answer
    x = 268,817.97

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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.