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Finding the Fourth Proportional to 541,762.20, 812,199.72 and 204,611.43

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Solution

The fourth proportional to 541,762.20, 812,199.72 and 204,611.43 is: 306,749.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,762.20 : 812,199.72 = 204,611.43 : x
  2. Step 2: Convert to fraction form
    541,762.20/812,199.72 = 204,611.43/x
  3. Step 3: Cross multiply
    541,762.20x = 812,199.72 × 204,611.43
  4. Step 4: Simplify right side
    541,762.20x = 166,185,346,154.80
  5. Step 5: Solve for x
    x = 166,185,346,154.80/541,762.20
  6. Step 6: Final answer
    x = 306,749.61

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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.