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Finding the Fourth Proportional to 463,015.44, 694,606.32 and 163,670.76

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Solution

The fourth proportional to 463,015.44, 694,606.32 and 163,670.76 is: 245,535.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,015.44 : 694,606.32 = 163,670.76 : x
  2. Step 2: Convert to fraction form
    463,015.44/694,606.32 = 163,670.76/x
  3. Step 3: Cross multiply
    463,015.44x = 694,606.32 × 163,670.76
  4. Step 4: Simplify right side
    463,015.44x = 113,686,744,295.20
  5. Step 5: Solve for x
    x = 113,686,744,295.20/463,015.44
  6. Step 6: Final answer
    x = 245,535.54

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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.