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Finding the Fourth Proportional to 443,204.56, 664,806.84 and 206,712.64

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Solution

The fourth proportional to 443,204.56, 664,806.84 and 206,712.64 is: 310,068.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,204.56 : 664,806.84 = 206,712.64 : x
  2. Step 2: Convert to fraction form
    443,204.56/664,806.84 = 206,712.64/x
  3. Step 3: Cross multiply
    443,204.56x = 664,806.84 × 206,712.64
  4. Step 4: Simplify right side
    443,204.56x = 137,423,976,986.46
  5. Step 5: Solve for x
    x = 137,423,976,986.46/443,204.56
  6. Step 6: Final answer
    x = 310,068.96

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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.