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Finding the Fourth Proportional to 412,116.36, 618,168.43 and 112,596.40

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Solution

The fourth proportional to 412,116.36, 618,168.43 and 112,596.40 is: 168,892.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,116.36 : 618,168.43 = 112,596.40 : x
  2. Step 2: Convert to fraction form
    412,116.36/618,168.43 = 112,596.40/x
  3. Step 3: Cross multiply
    412,116.36x = 618,168.43 × 112,596.40
  4. Step 4: Simplify right side
    412,116.36x = 69,603,539,811.65
  5. Step 5: Solve for x
    x = 69,603,539,811.65/412,116.36
  6. Step 6: Final answer
    x = 168,892.93

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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.