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Finding the Fourth Proportional to 516,255.28, 774,085 and 200,342.96

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Solution

The fourth proportional to 516,255.28, 774,085 and 200,342.96 is: 300,398.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,255.28 : 774,085 = 200,342.96 : x
  2. Step 2: Convert to fraction form
    516,255.28/774,085 = 200,342.96/x
  3. Step 3: Cross multiply
    516,255.28x = 774,085 × 200,342.96
  4. Step 4: Simplify right side
    516,255.28x = 155,082,480,191.60
  5. Step 5: Solve for x
    x = 155,082,480,191.60/516,255.28
  6. Step 6: Final answer
    x = 300,398.83

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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.