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Finding the Fourth Proportional to 323,893.34, 446,973.59 and 180,662.66

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Solution

The fourth proportional to 323,893.34, 446,973.59 and 180,662.66 is: 249,314.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,893.34 : 446,973.59 = 180,662.66 : x
  2. Step 2: Convert to fraction form
    323,893.34/446,973.59 = 180,662.66/x
  3. Step 3: Cross multiply
    323,893.34x = 446,973.59 × 180,662.66
  4. Step 4: Simplify right side
    323,893.34x = 80,751,436,815.84
  5. Step 5: Solve for x
    x = 80,751,436,815.84/323,893.34
  6. Step 6: Final answer
    x = 249,314.90

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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.