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Finding the Fourth Proportional to 335,644.30, 463,192.92 and 182,683.46

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Solution

The fourth proportional to 335,644.30, 463,192.92 and 182,683.46 is: 252,105.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,644.30 : 463,192.92 = 182,683.46 : x
  2. Step 2: Convert to fraction form
    335,644.30/463,192.92 = 182,683.46/x
  3. Step 3: Cross multiply
    335,644.30x = 463,192.92 × 182,683.46
  4. Step 4: Simplify right side
    335,644.30x = 84,617,684,359.69
  5. Step 5: Solve for x
    x = 84,617,684,359.69/335,644.30
  6. Step 6: Final answer
    x = 252,105.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.