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Finding the Fourth Proportional to 516,744.42, 775,274.12 and 264,202.22

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Solution

The fourth proportional to 516,744.42, 775,274.12 and 264,202.22 is: 396,383.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,744.42 : 775,274.12 = 264,202.22 : x
  2. Step 2: Convert to fraction form
    516,744.42/775,274.12 = 264,202.22/x
  3. Step 3: Cross multiply
    516,744.42x = 775,274.12 × 264,202.22
  4. Step 4: Simplify right side
    516,744.42x = 204,829,143,612.55
  5. Step 5: Solve for x
    x = 204,829,143,612.55/516,744.42
  6. Step 6: Final answer
    x = 396,383.85

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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.