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Finding the Fourth Proportional to 521,646.44, 782,511.42 and 166,710.92

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Solution

The fourth proportional to 521,646.44, 782,511.42 and 166,710.92 is: 250,079.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,646.44 : 782,511.42 = 166,710.92 : x
  2. Step 2: Convert to fraction form
    521,646.44/782,511.42 = 166,710.92/x
  3. Step 3: Cross multiply
    521,646.44x = 782,511.42 × 166,710.92
  4. Step 4: Simplify right side
    521,646.44x = 130,453,198,738.71
  5. Step 5: Solve for x
    x = 130,453,198,738.71/521,646.44
  6. Step 6: Final answer
    x = 250,079.73

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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.