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Finding the Fourth Proportional to 422,537.93, 633,800.77 and 102,692.15

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Solution

The fourth proportional to 422,537.93, 633,800.77 and 102,692.15 is: 154,036.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,537.93 : 633,800.77 = 102,692.15 : x
  2. Step 2: Convert to fraction form
    422,537.93/633,800.77 = 102,692.15/x
  3. Step 3: Cross multiply
    422,537.93x = 633,800.77 × 102,692.15
  4. Step 4: Simplify right side
    422,537.93x = 65,086,360,317.22
  5. Step 5: Solve for x
    x = 65,086,360,317.22/422,537.93
  6. Step 6: Final answer
    x = 154,036.73

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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.