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Finding the Fourth Proportional to 493,308.13, 739,662.55 and 193,429.43

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Solution

The fourth proportional to 493,308.13, 739,662.55 and 193,429.43 is: 290,026.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,308.13 : 739,662.55 = 193,429.43 : x
  2. Step 2: Convert to fraction form
    493,308.13/739,662.55 = 193,429.43/x
  3. Step 3: Cross multiply
    493,308.13x = 739,662.55 × 193,429.43
  4. Step 4: Simplify right side
    493,308.13x = 143,072,505,438.85
  5. Step 5: Solve for x
    x = 143,072,505,438.85/493,308.13
  6. Step 6: Final answer
    x = 290,026.65

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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.