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Finding the Fourth Proportional to 521,504.87, 782,250.70 and 166,514.39

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Solution

The fourth proportional to 521,504.87, 782,250.70 and 166,514.39 is: 249,769.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,504.87 : 782,250.70 = 166,514.39 : x
  2. Step 2: Convert to fraction form
    521,504.87/782,250.70 = 166,514.39/x
  3. Step 3: Cross multiply
    521,504.87x = 782,250.70 × 166,514.39
  4. Step 4: Simplify right side
    521,504.87x = 130,255,998,137.57
  5. Step 5: Solve for x
    x = 130,255,998,137.57/521,504.87
  6. Step 6: Final answer
    x = 249,769.48

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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.