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Finding the Fourth Proportional to 493,305.88, 739,659.18 and 193,427.18

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Solution

The fourth proportional to 493,305.88, 739,659.18 and 193,427.18 is: 290,023.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,305.88 : 739,659.18 = 193,427.18 : x
  2. Step 2: Convert to fraction form
    493,305.88/739,659.18 = 193,427.18/x
  3. Step 3: Cross multiply
    493,305.88x = 739,659.18 × 193,427.18
  4. Step 4: Simplify right side
    493,305.88x = 143,070,189,348.51
  5. Step 5: Solve for x
    x = 143,070,189,348.51/493,305.88
  6. Step 6: Final answer
    x = 290,023.28

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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.