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Finding the Fourth Proportional to 294,692.86, 442,042.38 and 235,902.24

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Solution

The fourth proportional to 294,692.86, 442,042.38 and 235,902.24 is: 353,855.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,692.86 : 442,042.38 = 235,902.24 : x
  2. Step 2: Convert to fraction form
    294,692.86/442,042.38 = 235,902.24/x
  3. Step 3: Cross multiply
    294,692.86x = 442,042.38 × 235,902.24
  4. Step 4: Simplify right side
    294,692.86x = 104,278,787,616.93
  5. Step 5: Solve for x
    x = 104,278,787,616.93/294,692.86
  6. Step 6: Final answer
    x = 353,855.83

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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.