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Finding the Fourth Proportional to 331,887.50, 458,039.31 and 204,559.82

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Solution

The fourth proportional to 331,887.50, 458,039.31 and 204,559.82 is: 282,313.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,887.50 : 458,039.31 = 204,559.82 : x
  2. Step 2: Convert to fraction form
    331,887.50/458,039.31 = 204,559.82/x
  3. Step 3: Cross multiply
    331,887.50x = 458,039.31 × 204,559.82
  4. Step 4: Simplify right side
    331,887.50x = 93,696,438,806.52
  5. Step 5: Solve for x
    x = 93,696,438,806.52/331,887.50
  6. Step 6: Final answer
    x = 282,313.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.