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Finding the Fourth Proportional to 363,548.34, 501,695.64 and 202,399.25

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Solution

The fourth proportional to 363,548.34, 501,695.64 and 202,399.25 is: 279,310.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,548.34 : 501,695.64 = 202,399.25 : x
  2. Step 2: Convert to fraction form
    363,548.34/501,695.64 = 202,399.25/x
  3. Step 3: Cross multiply
    363,548.34x = 501,695.64 × 202,399.25
  4. Step 4: Simplify right side
    363,548.34x = 101,542,821,264.27
  5. Step 5: Solve for x
    x = 101,542,821,264.27/363,548.34
  6. Step 6: Final answer
    x = 279,310.37

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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.