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Finding the Fourth Proportional to 472,847.80, 708,695.70 and 206,044.60

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Solution

The fourth proportional to 472,847.80, 708,695.70 and 206,044.60 is: 308,815.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,847.80 : 708,695.70 = 206,044.60 : x
  2. Step 2: Convert to fraction form
    472,847.80/708,695.70 = 206,044.60/x
  3. Step 3: Cross multiply
    472,847.80x = 708,695.70 × 206,044.60
  4. Step 4: Simplify right side
    472,847.80x = 146,022,922,028.22
  5. Step 5: Solve for x
    x = 146,022,922,028.22/472,847.80
  6. Step 6: Final answer
    x = 308,815.91

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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.