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Finding the Fourth Proportional to 323,668.44, 446,677.56 and 180,429.30

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Solution

The fourth proportional to 323,668.44, 446,677.56 and 180,429.30 is: 249,000.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,668.44 : 446,677.56 = 180,429.30 : x
  2. Step 2: Convert to fraction form
    323,668.44/446,677.56 = 180,429.30/x
  3. Step 3: Cross multiply
    323,668.44x = 446,677.56 × 180,429.30
  4. Step 4: Simplify right side
    323,668.44x = 80,593,719,476.51
  5. Step 5: Solve for x
    x = 80,593,719,476.51/323,668.44
  6. Step 6: Final answer
    x = 249,000.86

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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.