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Finding the Fourth Proportional to 499,598.96, 689,453.80 and 281,817.85

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Solution

The fourth proportional to 499,598.96, 689,453.80 and 281,817.85 is: 388,912.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,598.96 : 689,453.80 = 281,817.85 : x
  2. Step 2: Convert to fraction form
    499,598.96/689,453.80 = 281,817.85/x
  3. Step 3: Cross multiply
    499,598.96x = 689,453.80 × 281,817.85
  4. Step 4: Simplify right side
    499,598.96x = 194,300,384,338.86
  5. Step 5: Solve for x
    x = 194,300,384,338.86/499,598.96
  6. Step 6: Final answer
    x = 388,912.71

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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.