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Finding the Fourth Proportional to 499,595.25, 689,441.46 and 273,240.75

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Solution

The fourth proportional to 499,595.25, 689,441.46 and 273,240.75 is: 377,072.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,595.25 : 689,441.46 = 273,240.75 : x
  2. Step 2: Convert to fraction form
    499,595.25/689,441.46 = 273,240.75/x
  3. Step 3: Cross multiply
    499,595.25x = 689,441.46 × 273,240.75
  4. Step 4: Simplify right side
    499,595.25x = 188,383,501,611.50
  5. Step 5: Solve for x
    x = 188,383,501,611.50/499,595.25
  6. Step 6: Final answer
    x = 377,072.24

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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.