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Finding the Fourth Proportional to 323,911.42, 446,998.44 and 180,667.78

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Solution

The fourth proportional to 323,911.42, 446,998.44 and 180,667.78 is: 249,321.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,911.42 : 446,998.44 = 180,667.78 : x
  2. Step 2: Convert to fraction form
    323,911.42/446,998.44 = 180,667.78/x
  3. Step 3: Cross multiply
    323,911.42x = 446,998.44 × 180,667.78
  4. Step 4: Simplify right side
    323,911.42x = 80,758,215,818.26
  5. Step 5: Solve for x
    x = 80,758,215,818.26/323,911.42
  6. Step 6: Final answer
    x = 249,321.92

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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.