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Finding the Fourth Proportional to 680,478.22, 1,020,780.92 and 200,706.49

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Solution

The fourth proportional to 680,478.22, 1,020,780.92 and 200,706.49 is: 301,078.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,478.22 : 1,020,780.92 = 200,706.49 : x
  2. Step 2: Convert to fraction form
    680,478.22/1,020,780.92 = 200,706.49/x
  3. Step 3: Cross multiply
    680,478.22x = 1,020,780.92 × 200,706.49
  4. Step 4: Simplify right side
    680,478.22x = 204,877,351,956.69
  5. Step 5: Solve for x
    x = 204,877,351,956.69/680,478.22
  6. Step 6: Final answer
    x = 301,078.49

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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.