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Finding the Fourth Proportional to 327,114.78, 490,715.10 and 113,859.60

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Solution

The fourth proportional to 327,114.78, 490,715.10 and 113,859.60 is: 170,804.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,114.78 : 490,715.10 = 113,859.60 : x
  2. Step 2: Convert to fraction form
    327,114.78/490,715.10 = 113,859.60/x
  3. Step 3: Cross multiply
    327,114.78x = 490,715.10 × 113,859.60
  4. Step 4: Simplify right side
    327,114.78x = 55,872,624,999.96
  5. Step 5: Solve for x
    x = 55,872,624,999.96/327,114.78
  6. Step 6: Final answer
    x = 170,804.34

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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.