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Finding the Fourth Proportional to 363,722.94, 501,953.23 and 202,578.03

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Solution

The fourth proportional to 363,722.94, 501,953.23 and 202,578.03 is: 279,566.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,722.94 : 501,953.23 = 202,578.03 : x
  2. Step 2: Convert to fraction form
    363,722.94/501,953.23 = 202,578.03/x
  3. Step 3: Cross multiply
    363,722.94x = 501,953.23 × 202,578.03
  4. Step 4: Simplify right side
    363,722.94x = 101,684,693,469.33
  5. Step 5: Solve for x
    x = 101,684,693,469.33/363,722.94
  6. Step 6: Final answer
    x = 279,566.35

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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.