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Finding the Fourth Proportional to 446,959.72, 669,539.58 and 206,735.08

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Solution

The fourth proportional to 446,959.72, 669,539.58 and 206,735.08 is: 309,686.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,959.72 : 669,539.58 = 206,735.08 : x
  2. Step 2: Convert to fraction form
    446,959.72/669,539.58 = 206,735.08/x
  3. Step 3: Cross multiply
    446,959.72x = 669,539.58 × 206,735.08
  4. Step 4: Simplify right side
    446,959.72x = 138,417,318,634.47
  5. Step 5: Solve for x
    x = 138,417,318,634.47/446,959.72
  6. Step 6: Final answer
    x = 309,686.34

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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.