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Finding the Fourth Proportional to 323,954.48, 447,057.84 and 180,710.88

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Solution

The fourth proportional to 323,954.48, 447,057.84 and 180,710.88 is: 249,381.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,954.48 : 447,057.84 = 180,710.88 : x
  2. Step 2: Convert to fraction form
    323,954.48/447,057.84 = 180,710.88/x
  3. Step 3: Cross multiply
    323,954.48x = 447,057.84 × 180,710.88
  4. Step 4: Simplify right side
    323,954.48x = 80,788,215,677.30
  5. Step 5: Solve for x
    x = 80,788,215,677.30/323,954.48
  6. Step 6: Final answer
    x = 249,381.38

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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.