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Finding the Fourth Proportional to 422,675.50, 583,351.86 and 261,582.43

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Solution

The fourth proportional to 422,675.50, 583,351.86 and 261,582.43 is: 361,020.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,675.50 : 583,351.86 = 261,582.43 : x
  2. Step 2: Convert to fraction form
    422,675.50/583,351.86 = 261,582.43/x
  3. Step 3: Cross multiply
    422,675.50x = 583,351.86 × 261,582.43
  4. Step 4: Simplify right side
    422,675.50x = 152,594,597,083.82
  5. Step 5: Solve for x
    x = 152,594,597,083.82/422,675.50
  6. Step 6: Final answer
    x = 361,020.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.