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Finding the Fourth Proportional to 493,314.80, 739,648.20 and 193,614.80

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Solution

The fourth proportional to 493,314.80, 739,648.20 and 193,614.80 is: 290,295.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,314.80 : 739,648.20 = 193,614.80 : x
  2. Step 2: Convert to fraction form
    493,314.80/739,648.20 = 193,614.80/x
  3. Step 3: Cross multiply
    493,314.80x = 739,648.20 × 193,614.80
  4. Step 4: Simplify right side
    493,314.80x = 143,206,838,313.36
  5. Step 5: Solve for x
    x = 143,206,838,313.36/493,314.80
  6. Step 6: Final answer
    x = 290,295.04

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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.