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Finding the Fourth Proportional to 358,006.92, 494,041.50 and 194,659.88

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Solution

The fourth proportional to 358,006.92, 494,041.50 and 194,659.88 is: 268,626.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,006.92 : 494,041.50 = 194,659.88 : x
  2. Step 2: Convert to fraction form
    358,006.92/494,041.50 = 194,659.88/x
  3. Step 3: Cross multiply
    358,006.92x = 494,041.50 × 194,659.88
  4. Step 4: Simplify right side
    358,006.92x = 96,170,059,105.02
  5. Step 5: Solve for x
    x = 96,170,059,105.02/358,006.92
  6. Step 6: Final answer
    x = 268,626.26

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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.