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Finding the Fourth Proportional to 312,051.28, 430,630.38 and 168,811

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Solution

The fourth proportional to 312,051.28, 430,630.38 and 168,811 is: 232,958.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,051.28 : 430,630.38 = 168,811 : x
  2. Step 2: Convert to fraction form
    312,051.28/430,630.38 = 168,811/x
  3. Step 3: Cross multiply
    312,051.28x = 430,630.38 × 168,811
  4. Step 4: Simplify right side
    312,051.28x = 72,695,145,078.18
  5. Step 5: Solve for x
    x = 72,695,145,078.18/312,051.28
  6. Step 6: Final answer
    x = 232,958.97

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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.