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Finding the Fourth Proportional to 521,875.98, 782,764.56 and 166,794.66

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Solution

The fourth proportional to 521,875.98, 782,764.56 and 166,794.66 is: 250,176.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,875.98 : 782,764.56 = 166,794.66 : x
  2. Step 2: Convert to fraction form
    521,875.98/782,764.56 = 166,794.66/x
  3. Step 3: Cross multiply
    521,875.98x = 782,764.56 × 166,794.66
  4. Step 4: Simplify right side
    521,875.98x = 130,560,948,645.25
  5. Step 5: Solve for x
    x = 130,560,948,645.25/521,875.98
  6. Step 6: Final answer
    x = 250,176.20

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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.