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Finding the Fourth Proportional to 472,846.80, 708,694.20 and 206,043.60

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Solution

The fourth proportional to 472,846.80, 708,694.20 and 206,043.60 is: 308,814.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,846.80 : 708,694.20 = 206,043.60 : x
  2. Step 2: Convert to fraction form
    472,846.80/708,694.20 = 206,043.60/x
  3. Step 3: Cross multiply
    472,846.80x = 708,694.20 × 206,043.60
  4. Step 4: Simplify right side
    472,846.80x = 146,021,904,267.12
  5. Step 5: Solve for x
    x = 146,021,904,267.12/472,846.80
  6. Step 6: Final answer
    x = 308,814.41

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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.