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Finding the Fourth Proportional to 409,114.10, 613,385.84 and 181,285.81

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Solution

The fourth proportional to 409,114.10, 613,385.84 and 181,285.81 is: 271,802.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,114.10 : 613,385.84 = 181,285.81 : x
  2. Step 2: Convert to fraction form
    409,114.10/613,385.84 = 181,285.81/x
  3. Step 3: Cross multiply
    409,114.10x = 613,385.84 × 181,285.81
  4. Step 4: Simplify right side
    409,114.10x = 111,198,147,766.68
  5. Step 5: Solve for x
    x = 111,198,147,766.68/409,114.10
  6. Step 6: Final answer
    x = 271,802.28

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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.