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Finding the Fourth Proportional to 469,969.92, 705,163.52 and 190,033.92

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Solution

The fourth proportional to 469,969.92, 705,163.52 and 190,033.92 is: 285,135.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,969.92 : 705,163.52 = 190,033.92 : x
  2. Step 2: Convert to fraction form
    469,969.92/705,163.52 = 190,033.92/x
  3. Step 3: Cross multiply
    469,969.92x = 705,163.52 × 190,033.92
  4. Step 4: Simplify right side
    469,969.92x = 134,004,987,946.60
  5. Step 5: Solve for x
    x = 134,004,987,946.60/469,969.92
  6. Step 6: Final answer
    x = 285,135.24

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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.