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Finding the Fourth Proportional to 409,004.36, 613,573.05 and 120,845.24

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Solution

The fourth proportional to 409,004.36, 613,573.05 and 120,845.24 is: 181,287.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,004.36 : 613,573.05 = 120,845.24 : x
  2. Step 2: Convert to fraction form
    409,004.36/613,573.05 = 120,845.24/x
  3. Step 3: Cross multiply
    409,004.36x = 613,573.05 × 120,845.24
  4. Step 4: Simplify right side
    409,004.36x = 74,147,378,812.69
  5. Step 5: Solve for x
    x = 74,147,378,812.69/409,004.36
  6. Step 6: Final answer
    x = 181,287.50

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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.