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Finding the Fourth Proportional to 647,441.20, 971,161.80 and 332,513.20

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Solution

The fourth proportional to 647,441.20, 971,161.80 and 332,513.20 is: 498,769.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,441.20 : 971,161.80 = 332,513.20 : x
  2. Step 2: Convert to fraction form
    647,441.20/971,161.80 = 332,513.20/x
  3. Step 3: Cross multiply
    647,441.20x = 971,161.80 × 332,513.20
  4. Step 4: Simplify right side
    647,441.20x = 322,924,117,835.76
  5. Step 5: Solve for x
    x = 322,924,117,835.76/647,441.20
  6. Step 6: Final answer
    x = 498,769.80

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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.