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Finding the Fourth Proportional to 812,778.86, 1,219,171.13 and 273,019.70

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Solution

The fourth proportional to 812,778.86, 1,219,171.13 and 273,019.70 is: 409,530.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,778.86 : 1,219,171.13 = 273,019.70 : x
  2. Step 2: Convert to fraction form
    812,778.86/1,219,171.13 = 273,019.70/x
  3. Step 3: Cross multiply
    812,778.86x = 1,219,171.13 × 273,019.70
  4. Step 4: Simplify right side
    812,778.86x = 332,857,728,700.31
  5. Step 5: Solve for x
    x = 332,857,728,700.31/812,778.86
  6. Step 6: Final answer
    x = 409,530.50

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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.