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Finding the Fourth Proportional to 513,359.80, 770,092.49 and 193,780.86

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Solution

The fourth proportional to 513,359.80, 770,092.49 and 193,780.86 is: 290,691.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,359.80 : 770,092.49 = 193,780.86 : x
  2. Step 2: Convert to fraction form
    513,359.80/770,092.49 = 193,780.86/x
  3. Step 3: Cross multiply
    513,359.80x = 770,092.49 × 193,780.86
  4. Step 4: Simplify right side
    513,359.80x = 149,229,184,991.74
  5. Step 5: Solve for x
    x = 149,229,184,991.74/513,359.80
  6. Step 6: Final answer
    x = 290,691.22

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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.