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Finding the Fourth Proportional to 412,069.71, 618,004.67 and 112,551.69

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Solution

The fourth proportional to 412,069.71, 618,004.67 and 112,551.69 is: 168,800.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,069.71 : 618,004.67 = 112,551.69 : x
  2. Step 2: Convert to fraction form
    412,069.71/618,004.67 = 112,551.69/x
  3. Step 3: Cross multiply
    412,069.71x = 618,004.67 × 112,551.69
  4. Step 4: Simplify right side
    412,069.71x = 69,557,469,473.63
  5. Step 5: Solve for x
    x = 69,557,469,473.63/412,069.71
  6. Step 6: Final answer
    x = 168,800.25

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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.