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Finding the Fourth Proportional to 323,941.76, 486,052.98 and 174,007.12

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Solution

The fourth proportional to 323,941.76, 486,052.98 and 174,007.12 is: 261,086.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,941.76 : 486,052.98 = 174,007.12 : x
  2. Step 2: Convert to fraction form
    323,941.76/486,052.98 = 174,007.12/x
  3. Step 3: Cross multiply
    323,941.76x = 486,052.98 × 174,007.12
  4. Step 4: Simplify right side
    323,941.76x = 84,576,679,217.22
  5. Step 5: Solve for x
    x = 84,576,679,217.22/323,941.76
  6. Step 6: Final answer
    x = 261,086.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.