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Finding the Fourth Proportional to 493,306.13, 739,659.56 and 193,427.43

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Solution

The fourth proportional to 493,306.13, 739,659.56 and 193,427.43 is: 290,023.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,306.13 : 739,659.56 = 193,427.43 : x
  2. Step 2: Convert to fraction form
    493,306.13/739,659.56 = 193,427.43/x
  3. Step 3: Cross multiply
    493,306.13x = 739,659.56 × 193,427.43
  4. Step 4: Simplify right side
    493,306.13x = 143,070,446,798.59
  5. Step 5: Solve for x
    x = 143,070,446,798.59/493,306.13
  6. Step 6: Final answer
    x = 290,023.65

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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.