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Finding the Fourth Proportional to 422,863.98, 633,051.80 and 282,273.90

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Solution

The fourth proportional to 422,863.98, 633,051.80 and 282,273.90 is: 422,580.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,863.98 : 633,051.80 = 282,273.90 : x
  2. Step 2: Convert to fraction form
    422,863.98/633,051.80 = 282,273.90/x
  3. Step 3: Cross multiply
    422,863.98x = 633,051.80 × 282,273.90
  4. Step 4: Simplify right side
    422,863.98x = 178,694,000,488.02
  5. Step 5: Solve for x
    x = 178,694,000,488.02/422,863.98
  6. Step 6: Final answer
    x = 422,580.33

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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.