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Finding the Fourth Proportional to 412,521.44, 618,782.69 and 113,004.65

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Solution

The fourth proportional to 412,521.44, 618,782.69 and 113,004.65 is: 169,507.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,521.44 : 618,782.69 = 113,004.65 : x
  2. Step 2: Convert to fraction form
    412,521.44/618,782.69 = 113,004.65/x
  3. Step 3: Cross multiply
    412,521.44x = 618,782.69 × 113,004.65
  4. Step 4: Simplify right side
    412,521.44x = 69,925,323,138.98
  5. Step 5: Solve for x
    x = 69,925,323,138.98/412,521.44
  6. Step 6: Final answer
    x = 169,507.12

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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.