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Finding the Fourth Proportional to 412,521.54, 618,782.84 and 113,004.75

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Solution

The fourth proportional to 412,521.54, 618,782.84 and 113,004.75 is: 169,507.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,521.54 : 618,782.84 = 113,004.75 : x
  2. Step 2: Convert to fraction form
    412,521.54/618,782.84 = 113,004.75/x
  3. Step 3: Cross multiply
    412,521.54x = 618,782.84 × 113,004.75
  4. Step 4: Simplify right side
    412,521.54x = 69,925,400,421.00
  5. Step 5: Solve for x
    x = 69,925,400,421.00/412,521.54
  6. Step 6: Final answer
    x = 169,507.27

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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.