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Finding the Fourth Proportional to 442,811.40, 664,217.10 and 406,069.80

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Solution

The fourth proportional to 442,811.40, 664,217.10 and 406,069.80 is: 609,104.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,811.40 : 664,217.10 = 406,069.80 : x
  2. Step 2: Convert to fraction form
    442,811.40/664,217.10 = 406,069.80/x
  3. Step 3: Cross multiply
    442,811.40x = 664,217.10 × 406,069.80
  4. Step 4: Simplify right side
    442,811.40x = 269,718,504,953.58
  5. Step 5: Solve for x
    x = 269,718,504,953.58/442,811.40
  6. Step 6: Final answer
    x = 609,104.70

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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.