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Finding the Fourth Proportional to 521,657.70, 782,777.28 and 281,766.76

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Solution

The fourth proportional to 521,657.70, 782,777.28 and 281,766.76 is: 422,807.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,657.70 : 782,777.28 = 281,766.76 : x
  2. Step 2: Convert to fraction form
    521,657.70/782,777.28 = 281,766.76/x
  3. Step 3: Cross multiply
    521,657.70x = 782,777.28 × 281,766.76
  4. Step 4: Simplify right side
    521,657.70x = 220,560,617,987.21
  5. Step 5: Solve for x
    x = 220,560,617,987.21/521,657.70
  6. Step 6: Final answer
    x = 422,807.17

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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.