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Finding the Fourth Proportional to 565,171.30, 847,722.62 and 200,450.98

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Solution

The fourth proportional to 565,171.30, 847,722.62 and 200,450.98 is: 300,664.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,171.30 : 847,722.62 = 200,450.98 : x
  2. Step 2: Convert to fraction form
    565,171.30/847,722.62 = 200,450.98/x
  3. Step 3: Cross multiply
    565,171.30x = 847,722.62 × 200,450.98
  4. Step 4: Simplify right side
    565,171.30x = 169,926,825,207.43
  5. Step 5: Solve for x
    x = 169,926,825,207.43/565,171.30
  6. Step 6: Final answer
    x = 300,664.29

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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.