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Finding the Fourth Proportional to 465,141.11, 696,694.44 and 329,794.92

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Solution

The fourth proportional to 465,141.11, 696,694.44 and 329,794.92 is: 493,971.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,141.11 : 696,694.44 = 329,794.92 : x
  2. Step 2: Convert to fraction form
    465,141.11/696,694.44 = 329,794.92/x
  3. Step 3: Cross multiply
    465,141.11x = 696,694.44 × 329,794.92
  4. Step 4: Simplify right side
    465,141.11x = 229,766,287,104.25
  5. Step 5: Solve for x
    x = 229,766,287,104.25/465,141.11
  6. Step 6: Final answer
    x = 493,971.15

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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.