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Finding the Fourth Proportional to 323,881.42, 446,957.04 and 180,637.78

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Solution

The fourth proportional to 323,881.42, 446,957.04 and 180,637.78 is: 249,280.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,881.42 : 446,957.04 = 180,637.78 : x
  2. Step 2: Convert to fraction form
    323,881.42/446,957.04 = 180,637.78/x
  3. Step 3: Cross multiply
    323,881.42x = 446,957.04 × 180,637.78
  4. Step 4: Simplify right side
    323,881.42x = 80,737,327,460.97
  5. Step 5: Solve for x
    x = 80,737,327,460.97/323,881.42
  6. Step 6: Final answer
    x = 249,280.52

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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.