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Finding the Fourth Proportional to 493,309.01, 739,663.87 and 193,430.31

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Solution

The fourth proportional to 493,309.01, 739,663.87 and 193,430.31 is: 290,027.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,309.01 : 739,663.87 = 193,430.31 : x
  2. Step 2: Convert to fraction form
    493,309.01/739,663.87 = 193,430.31/x
  3. Step 3: Cross multiply
    493,309.01x = 739,663.87 × 193,430.31
  4. Step 4: Simplify right side
    493,309.01x = 143,073,407,004.43
  5. Step 5: Solve for x
    x = 143,073,407,004.43/493,309.01
  6. Step 6: Final answer
    x = 290,027.97

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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.