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Finding the Fourth Proportional to 415,568.81, 623,388.57 and 131,183.28

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Solution

The fourth proportional to 415,568.81, 623,388.57 and 131,183.28 is: 196,786.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,568.81 : 623,388.57 = 131,183.28 : x
  2. Step 2: Convert to fraction form
    415,568.81/623,388.57 = 131,183.28/x
  3. Step 3: Cross multiply
    415,568.81x = 623,388.57 × 131,183.28
  4. Step 4: Simplify right side
    415,568.81x = 81,778,157,327.11
  5. Step 5: Solve for x
    x = 81,778,157,327.11/415,568.81
  6. Step 6: Final answer
    x = 196,786.08

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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.