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Finding the Fourth Proportional to 358,042.08, 493,958.23 and 204,998.48

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Solution

The fourth proportional to 358,042.08, 493,958.23 and 204,998.48 is: 282,817.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,042.08 : 493,958.23 = 204,998.48 : x
  2. Step 2: Convert to fraction form
    358,042.08/493,958.23 = 204,998.48/x
  3. Step 3: Cross multiply
    358,042.08x = 493,958.23 × 204,998.48
  4. Step 4: Simplify right side
    358,042.08x = 101,260,685,203.55
  5. Step 5: Solve for x
    x = 101,260,685,203.55/358,042.08
  6. Step 6: Final answer
    x = 282,817.83

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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.