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Finding the Fourth Proportional to 323,968.80, 485,952.96 and 174,002.64

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Solution

The fourth proportional to 323,968.80, 485,952.96 and 174,002.64 is: 261,003.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,968.80 : 485,952.96 = 174,002.64 : x
  2. Step 2: Convert to fraction form
    323,968.80/485,952.96 = 174,002.64/x
  3. Step 3: Cross multiply
    323,968.80x = 485,952.96 × 174,002.64
  4. Step 4: Simplify right side
    323,968.80x = 84,557,097,955.81
  5. Step 5: Solve for x
    x = 84,557,097,955.81/323,968.80
  6. Step 6: Final answer
    x = 261,003.83

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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.