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Finding the Fourth Proportional to 414,403.92, 621,676.56 and 130,039.92

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Solution

The fourth proportional to 414,403.92, 621,676.56 and 130,039.92 is: 195,082.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,403.92 : 621,676.56 = 130,039.92 : x
  2. Step 2: Convert to fraction form
    414,403.92/621,676.56 = 130,039.92/x
  3. Step 3: Cross multiply
    414,403.92x = 621,676.56 × 130,039.92
  4. Step 4: Simplify right side
    414,403.92x = 80,842,770,128.28
  5. Step 5: Solve for x
    x = 80,842,770,128.28/414,403.92
  6. Step 6: Final answer
    x = 195,082.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.