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Finding the Fourth Proportional to 323,522.78, 446,461.88 and 180,279.68

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Solution

The fourth proportional to 323,522.78, 446,461.88 and 180,279.68 is: 248,786.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,522.78 : 446,461.88 = 180,279.68 : x
  2. Step 2: Convert to fraction form
    323,522.78/446,461.88 = 180,279.68/x
  3. Step 3: Cross multiply
    323,522.78x = 446,461.88 × 180,279.68
  4. Step 4: Simplify right side
    323,522.78x = 80,488,001,724.89
  5. Step 5: Solve for x
    x = 80,488,001,724.89/323,522.78
  6. Step 6: Final answer
    x = 248,786.20

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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.