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Finding the Fourth Proportional to 466,171.20, 699,256.80 and 413,683.20

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Solution

The fourth proportional to 466,171.20, 699,256.80 and 413,683.20 is: 620,524.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,171.20 : 699,256.80 = 413,683.20 : x
  2. Step 2: Convert to fraction form
    466,171.20/699,256.80 = 413,683.20/x
  3. Step 3: Cross multiply
    466,171.20x = 699,256.80 × 413,683.20
  4. Step 4: Simplify right side
    466,171.20x = 289,270,790,645.76
  5. Step 5: Solve for x
    x = 289,270,790,645.76/466,171.20
  6. Step 6: Final answer
    x = 620,524.80

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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.