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Finding the Fourth Proportional to 323,902.36, 446,986.04 and 180,671.68

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Solution

The fourth proportional to 323,902.36, 446,986.04 and 180,671.68 is: 249,327.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,902.36 : 446,986.04 = 180,671.68 : x
  2. Step 2: Convert to fraction form
    323,902.36/446,986.04 = 180,671.68/x
  3. Step 3: Cross multiply
    323,902.36x = 446,986.04 × 180,671.68
  4. Step 4: Simplify right side
    323,902.36x = 80,757,718,783.35
  5. Step 5: Solve for x
    x = 80,757,718,783.35/323,902.36
  6. Step 6: Final answer
    x = 249,327.36

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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.