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Finding the Fourth Proportional to 329,151.36, 492,883.68 and 227,809

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Solution

The fourth proportional to 329,151.36, 492,883.68 and 227,809 is: 341,129.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,151.36 : 492,883.68 = 227,809 : x
  2. Step 2: Convert to fraction form
    329,151.36/492,883.68 = 227,809/x
  3. Step 3: Cross multiply
    329,151.36x = 492,883.68 × 227,809
  4. Step 4: Simplify right side
    329,151.36x = 112,283,338,257.12
  5. Step 5: Solve for x
    x = 112,283,338,257.12/329,151.36
  6. Step 6: Final answer
    x = 341,129.80

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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.