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Finding the Fourth Proportional to 323,903.92, 446,986.17 and 178,718.75

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Solution

The fourth proportional to 323,903.92, 446,986.17 and 178,718.75 is: 246,631.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,903.92 : 446,986.17 = 178,718.75 : x
  2. Step 2: Convert to fraction form
    323,903.92/446,986.17 = 178,718.75/x
  3. Step 3: Cross multiply
    323,903.92x = 446,986.17 × 178,718.75
  4. Step 4: Simplify right side
    323,903.92x = 79,884,809,569.69
  5. Step 5: Solve for x
    x = 79,884,809,569.69/323,903.92
  6. Step 6: Final answer
    x = 246,631.19

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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.