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Finding the Fourth Proportional to 463,019.44, 694,612.32 and 163,674.76

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Solution

The fourth proportional to 463,019.44, 694,612.32 and 163,674.76 is: 245,541.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,019.44 : 694,612.32 = 163,674.76 : x
  2. Step 2: Convert to fraction form
    463,019.44/694,612.32 = 163,674.76/x
  3. Step 3: Cross multiply
    463,019.44x = 694,612.32 × 163,674.76
  4. Step 4: Simplify right side
    463,019.44x = 113,690,504,769.04
  5. Step 5: Solve for x
    x = 113,690,504,769.04/463,019.44
  6. Step 6: Final answer
    x = 245,541.54

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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.