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Finding the Fourth Proportional to 1,223,786.94, 1,835,680.41 and 465,453.23

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Solution

The fourth proportional to 1,223,786.94, 1,835,680.41 and 465,453.23 is: 698,179.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223,786.94 : 1,835,680.41 = 465,453.23 : x
  2. Step 2: Convert to fraction form
    1,223,786.94/1,835,680.41 = 465,453.23/x
  3. Step 3: Cross multiply
    1,223,786.94x = 1,835,680.41 × 465,453.23
  4. Step 4: Simplify right side
    1,223,786.94x = 854,423,373,811.50
  5. Step 5: Solve for x
    x = 854,423,373,811.50/1,223,786.94
  6. Step 6: Final answer
    x = 698,179.84

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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.