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Finding the Fourth Proportional to 516,170.88, 773,955 and 200,258.73

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Solution

The fourth proportional to 516,170.88, 773,955 and 200,258.73 is: 300,271.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,170.88 : 773,955 = 200,258.73 : x
  2. Step 2: Convert to fraction form
    516,170.88/773,955 = 200,258.73/x
  3. Step 3: Cross multiply
    516,170.88x = 773,955 × 200,258.73
  4. Step 4: Simplify right side
    516,170.88x = 154,991,245,377.15
  5. Step 5: Solve for x
    x = 154,991,245,377.15/516,170.88
  6. Step 6: Final answer
    x = 300,271.19

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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.