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Finding the Fourth Proportional to 323,881.92, 446,957.73 and 180,638.28

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Solution

The fourth proportional to 323,881.92, 446,957.73 and 180,638.28 is: 249,281.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,881.92 : 446,957.73 = 180,638.28 : x
  2. Step 2: Convert to fraction form
    323,881.92/446,957.73 = 180,638.28/x
  3. Step 3: Cross multiply
    323,881.92x = 446,957.73 × 180,638.28
  4. Step 4: Simplify right side
    323,881.92x = 80,737,675,579.90
  5. Step 5: Solve for x
    x = 80,737,675,579.90/323,881.92
  6. Step 6: Final answer
    x = 249,281.21

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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.