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Finding the Fourth Proportional to 363,114.40, 501,090.67 and 201,965.98

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Solution

The fourth proportional to 363,114.40, 501,090.67 and 201,965.98 is: 278,709.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,114.40 : 501,090.67 = 201,965.98 : x
  2. Step 2: Convert to fraction form
    363,114.40/501,090.67 = 201,965.98/x
  3. Step 3: Cross multiply
    363,114.40x = 501,090.67 × 201,965.98
  4. Step 4: Simplify right side
    363,114.40x = 101,203,268,235.41
  5. Step 5: Solve for x
    x = 101,203,268,235.41/363,114.40
  6. Step 6: Final answer
    x = 278,709.05

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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.