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Finding the Fourth Proportional to 412,521.32, 618,782.46 and 113,004.46

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Solution

The fourth proportional to 412,521.32, 618,782.46 and 113,004.46 is: 169,506.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,521.32 : 618,782.46 = 113,004.46 : x
  2. Step 2: Convert to fraction form
    412,521.32/618,782.46 = 113,004.46/x
  3. Step 3: Cross multiply
    412,521.32x = 618,782.46 × 113,004.46
  4. Step 4: Simplify right side
    412,521.32x = 69,925,177,749.77
  5. Step 5: Solve for x
    x = 69,925,177,749.77/412,521.32
  6. Step 6: Final answer
    x = 169,506.82

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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.