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Finding the Fourth Proportional to 406,057.80, 609,086.70 and 332,246.55

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Solution

The fourth proportional to 406,057.80, 609,086.70 and 332,246.55 is: 498,369.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,057.80 : 609,086.70 = 332,246.55 : x
  2. Step 2: Convert to fraction form
    406,057.80/609,086.70 = 332,246.55/x
  3. Step 3: Cross multiply
    406,057.80x = 609,086.70 × 332,246.55
  4. Step 4: Simplify right side
    406,057.80x = 202,366,954,725.89
  5. Step 5: Solve for x
    x = 202,366,954,725.89/406,057.80
  6. Step 6: Final answer
    x = 498,369.83

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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.