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Finding the Fourth Proportional to 550,677.87, 826,016.84 and 195,705.90

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Solution

The fourth proportional to 550,677.87, 826,016.84 and 195,705.90 is: 293,558.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,677.87 : 826,016.84 = 195,705.90 : x
  2. Step 2: Convert to fraction form
    550,677.87/826,016.84 = 195,705.90/x
  3. Step 3: Cross multiply
    550,677.87x = 826,016.84 × 195,705.90
  4. Step 4: Simplify right side
    550,677.87x = 161,656,366,519.55
  5. Step 5: Solve for x
    x = 161,656,366,519.55/550,677.87
  6. Step 6: Final answer
    x = 293,558.86

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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.