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Finding the Fourth Proportional to 446,937.75, 669,506.31 and 206,712.81

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Solution

The fourth proportional to 446,937.75, 669,506.31 and 206,712.81 is: 309,652.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,937.75 : 669,506.31 = 206,712.81 : x
  2. Step 2: Convert to fraction form
    446,937.75/669,506.31 = 206,712.81/x
  3. Step 3: Cross multiply
    446,937.75x = 669,506.31 × 206,712.81
  4. Step 4: Simplify right side
    446,937.75x = 138,395,530,652.83
  5. Step 5: Solve for x
    x = 138,395,530,652.83/446,937.75
  6. Step 6: Final answer
    x = 309,652.81

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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.