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Finding the Fourth Proportional to 446,305.97, 669,572.24 and 206,592.66

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Solution

The fourth proportional to 446,305.97, 669,572.24 and 206,592.66 is: 309,941.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,305.97 : 669,572.24 = 206,592.66 : x
  2. Step 2: Convert to fraction form
    446,305.97/669,572.24 = 206,592.66/x
  3. Step 3: Cross multiply
    446,305.97x = 669,572.24 × 206,592.66
  4. Step 4: Simplify right side
    446,305.97x = 138,328,710,123.76
  5. Step 5: Solve for x
    x = 138,328,710,123.76/446,305.97
  6. Step 6: Final answer
    x = 309,941.43

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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.