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Finding the Fourth Proportional to 317,812.92, 438,222.42 and 202,940.52

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Solution

The fourth proportional to 317,812.92, 438,222.42 and 202,940.52 is: 279,828.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,812.92 : 438,222.42 = 202,940.52 : x
  2. Step 2: Convert to fraction form
    317,812.92/438,222.42 = 202,940.52/x
  3. Step 3: Cross multiply
    317,812.92x = 438,222.42 × 202,940.52
  4. Step 4: Simplify right side
    317,812.92x = 88,933,085,790.46
  5. Step 5: Solve for x
    x = 88,933,085,790.46/317,812.92
  6. Step 6: Final answer
    x = 279,828.42

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