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Finding the Fourth Proportional to 499,586.86, 689,435.31 and 273,227.50

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Solution

The fourth proportional to 499,586.86, 689,435.31 and 273,227.50 is: 377,056.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,586.86 : 689,435.31 = 273,227.50 : x
  2. Step 2: Convert to fraction form
    499,586.86/689,435.31 = 273,227.50/x
  3. Step 3: Cross multiply
    499,586.86x = 689,435.31 × 273,227.50
  4. Step 4: Simplify right side
    499,586.86x = 188,372,686,163.03
  5. Step 5: Solve for x
    x = 188,372,686,163.03/499,586.86
  6. Step 6: Final answer
    x = 377,056.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.