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Finding the Fourth Proportional to 327,090.39, 490,635.19 and 102,468.32

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Solution

The fourth proportional to 327,090.39, 490,635.19 and 102,468.32 is: 153,702.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,090.39 : 490,635.19 = 102,468.32 : x
  2. Step 2: Convert to fraction form
    327,090.39/490,635.19 = 102,468.32/x
  3. Step 3: Cross multiply
    327,090.39x = 490,635.19 × 102,468.32
  4. Step 4: Simplify right side
    327,090.39x = 50,274,563,652.18
  5. Step 5: Solve for x
    x = 50,274,563,652.18/327,090.39
  6. Step 6: Final answer
    x = 153,702.36

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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.