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Finding the Fourth Proportional to 323,808.72, 446,857.98 and 180,577.83

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Solution

The fourth proportional to 323,808.72, 446,857.98 and 180,577.83 is: 249,198.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,808.72 : 446,857.98 = 180,577.83 : x
  2. Step 2: Convert to fraction form
    323,808.72/446,857.98 = 180,577.83/x
  3. Step 3: Cross multiply
    323,808.72x = 446,857.98 × 180,577.83
  4. Step 4: Simplify right side
    323,808.72x = 80,692,644,346.58
  5. Step 5: Solve for x
    x = 80,692,644,346.58/323,808.72
  6. Step 6: Final answer
    x = 249,198.49

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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.