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Finding the Fourth Proportional to 412,692.23, 619,176.82 and 159,980.96

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Solution

The fourth proportional to 412,692.23, 619,176.82 and 159,980.96 is: 240,025.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,692.23 : 619,176.82 = 159,980.96 : x
  2. Step 2: Convert to fraction form
    412,692.23/619,176.82 = 159,980.96/x
  3. Step 3: Cross multiply
    412,692.23x = 619,176.82 × 159,980.96
  4. Step 4: Simplify right side
    412,692.23x = 99,056,502,073.35
  5. Step 5: Solve for x
    x = 99,056,502,073.35/412,692.23
  6. Step 6: Final answer
    x = 240,025.12

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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.