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Finding the Fourth Proportional to 323,416.31, 484,588.17 and 196,673.17

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Solution

The fourth proportional to 323,416.31, 484,588.17 and 196,673.17 is: 294,683.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,416.31 : 484,588.17 = 196,673.17 : x
  2. Step 2: Convert to fraction form
    323,416.31/484,588.17 = 196,673.17/x
  3. Step 3: Cross multiply
    323,416.31x = 484,588.17 × 196,673.17
  4. Step 4: Simplify right side
    323,416.31x = 95,305,492,683.97
  5. Step 5: Solve for x
    x = 95,305,492,683.97/323,416.31
  6. Step 6: Final answer
    x = 294,683.63

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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.