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Finding the Fourth Proportional to 327,036, 490,709.44 and 149,529.36

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Solution

The fourth proportional to 327,036, 490,709.44 and 149,529.36 is: 224,365.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,036 : 490,709.44 = 149,529.36 : x
  2. Step 2: Convert to fraction form
    327,036/490,709.44 = 149,529.36/x
  3. Step 3: Cross multiply
    327,036x = 490,709.44 × 149,529.36
  4. Step 4: Simplify right side
    327,036x = 73,375,468,509.16
  5. Step 5: Solve for x
    x = 73,375,468,509.16/327,036
  6. Step 6: Final answer
    x = 224,365.11

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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.