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Finding the Fourth Proportional to 521,734.80, 782,893.80 and 222,164.40

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Solution

The fourth proportional to 521,734.80, 782,893.80 and 222,164.40 is: 333,370.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,734.80 : 782,893.80 = 222,164.40 : x
  2. Step 2: Convert to fraction form
    521,734.80/782,893.80 = 222,164.40/x
  3. Step 3: Cross multiply
    521,734.80x = 782,893.80 × 222,164.40
  4. Step 4: Simplify right side
    521,734.80x = 173,931,131,340.72
  5. Step 5: Solve for x
    x = 173,931,131,340.72/521,734.80
  6. Step 6: Final answer
    x = 333,370.77

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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.