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Finding the Fourth Proportional to 409,092.35, 613,353.22 and 181,264.05

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Solution

The fourth proportional to 409,092.35, 613,353.22 and 181,264.05 is: 271,769.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,092.35 : 613,353.22 = 181,264.05 : x
  2. Step 2: Convert to fraction form
    409,092.35/613,353.22 = 181,264.05/x
  3. Step 3: Cross multiply
    409,092.35x = 613,353.22 × 181,264.05
  4. Step 4: Simplify right side
    409,092.35x = 111,178,891,264.40
  5. Step 5: Solve for x
    x = 111,178,891,264.40/409,092.35
  6. Step 6: Final answer
    x = 271,769.67

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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.