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Finding the Fourth Proportional to 365,994.96, 505,072.96 and 204,850

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Solution

The fourth proportional to 365,994.96, 505,072.96 and 204,850 is: 282,692.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,994.96 : 505,072.96 = 204,850 : x
  2. Step 2: Convert to fraction form
    365,994.96/505,072.96 = 204,850/x
  3. Step 3: Cross multiply
    365,994.96x = 505,072.96 × 204,850
  4. Step 4: Simplify right side
    365,994.96x = 103,464,195,856
  5. Step 5: Solve for x
    x = 103,464,195,856/365,994.96
  6. Step 6: Final answer
    x = 282,692.95

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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.