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Finding the Fourth Proportional to 298,692.24, 412,185.96 and 171,369.96

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Solution

The fourth proportional to 298,692.24, 412,185.96 and 171,369.96 is: 236,485.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,692.24 : 412,185.96 = 171,369.96 : x
  2. Step 2: Convert to fraction form
    298,692.24/412,185.96 = 171,369.96/x
  3. Step 3: Cross multiply
    298,692.24x = 412,185.96 × 171,369.96
  4. Step 4: Simplify right side
    298,692.24x = 70,636,291,477.76
  5. Step 5: Solve for x
    x = 70,636,291,477.76/298,692.24
  6. Step 6: Final answer
    x = 236,485.19

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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.