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Finding the Fourth Proportional to 443,669.40, 664,738.65 and 206,525.70

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Solution

The fourth proportional to 443,669.40, 664,738.65 and 206,525.70 is: 309,432.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,669.40 : 664,738.65 = 206,525.70 : x
  2. Step 2: Convert to fraction form
    443,669.40/664,738.65 = 206,525.70/x
  3. Step 3: Cross multiply
    443,669.40x = 664,738.65 × 206,525.70
  4. Step 4: Simplify right side
    443,669.40x = 137,285,615,008.31
  5. Step 5: Solve for x
    x = 137,285,615,008.31/443,669.40
  6. Step 6: Final answer
    x = 309,432.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.