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Finding the Fourth Proportional to 323,885.42, 446,962.56 and 180,641.78

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Solution

The fourth proportional to 323,885.42, 446,962.56 and 180,641.78 is: 249,286.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,885.42 : 446,962.56 = 180,641.78 : x
  2. Step 2: Convert to fraction form
    323,885.42/446,962.56 = 180,641.78/x
  3. Step 3: Cross multiply
    323,885.42x = 446,962.56 × 180,641.78
  4. Step 4: Simplify right side
    323,885.42x = 80,740,112,431.76
  5. Step 5: Solve for x
    x = 80,740,112,431.76/323,885.42
  6. Step 6: Final answer
    x = 249,286.04

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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.