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Finding the Fourth Proportional to 465,770.20, 699,500.10 and 407,709.40

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Solution

The fourth proportional to 465,770.20, 699,500.10 and 407,709.40 is: 612,303.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,770.20 : 699,500.10 = 407,709.40 : x
  2. Step 2: Convert to fraction form
    465,770.20/699,500.10 = 407,709.40/x
  3. Step 3: Cross multiply
    465,770.20x = 699,500.10 × 407,709.40
  4. Step 4: Simplify right side
    465,770.20x = 285,192,766,070.94
  5. Step 5: Solve for x
    x = 285,192,766,070.94/465,770.20
  6. Step 6: Final answer
    x = 612,303.59

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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.