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Finding the Fourth Proportional to 462,431.81, 693,703.29 and 162,850.47

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Solution

The fourth proportional to 462,431.81, 693,703.29 and 162,850.47 is: 244,295.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,431.81 : 693,703.29 = 162,850.47 : x
  2. Step 2: Convert to fraction form
    462,431.81/693,703.29 = 162,850.47/x
  3. Step 3: Cross multiply
    462,431.81x = 693,703.29 × 162,850.47
  4. Step 4: Simplify right side
    462,431.81x = 112,969,906,817.05
  5. Step 5: Solve for x
    x = 112,969,906,817.05/462,431.81
  6. Step 6: Final answer
    x = 244,295.28

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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.