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Finding the Fourth Proportional to 647,524.60, 971,286.90 and 204,292.60

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Solution

The fourth proportional to 647,524.60, 971,286.90 and 204,292.60 is: 306,438.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,524.60 : 971,286.90 = 204,292.60 : x
  2. Step 2: Convert to fraction form
    647,524.60/971,286.90 = 204,292.60/x
  3. Step 3: Cross multiply
    647,524.60x = 971,286.90 × 204,292.60
  4. Step 4: Simplify right side
    647,524.60x = 198,426,726,146.94
  5. Step 5: Solve for x
    x = 198,426,726,146.94/647,524.60
  6. Step 6: Final answer
    x = 306,438.90

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Half scale
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Double scale
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Similar ratio
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1.5x scale

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.