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Finding the Fourth Proportional to 466,166.60, 699,249.90 and 413,635.40

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Solution

The fourth proportional to 466,166.60, 699,249.90 and 413,635.40 is: 620,453.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,166.60 : 699,249.90 = 413,635.40 : x
  2. Step 2: Convert to fraction form
    466,166.60/699,249.90 = 413,635.40/x
  3. Step 3: Cross multiply
    466,166.60x = 699,249.90 × 413,635.40
  4. Step 4: Simplify right side
    466,166.60x = 289,234,512,086.46
  5. Step 5: Solve for x
    x = 289,234,512,086.46/466,166.60
  6. Step 6: Final answer
    x = 620,453.10

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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.