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Finding the Fourth Proportional to 647,524.10, 971,286.15 and 204,292.10

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Solution

The fourth proportional to 647,524.10, 971,286.15 and 204,292.10 is: 306,438.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,524.10 : 971,286.15 = 204,292.10 : x
  2. Step 2: Convert to fraction form
    647,524.10/971,286.15 = 204,292.10/x
  3. Step 3: Cross multiply
    647,524.10x = 971,286.15 × 204,292.10
  4. Step 4: Simplify right side
    647,524.10x = 198,426,087,284.42
  5. Step 5: Solve for x
    x = 198,426,087,284.42/647,524.10
  6. Step 6: Final answer
    x = 306,438.15

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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.