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Finding the Fourth Proportional to 499,378.50, 689,142.33 and 273,024

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Solution

The fourth proportional to 499,378.50, 689,142.33 and 273,024 is: 376,773.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,378.50 : 689,142.33 = 273,024 : x
  2. Step 2: Convert to fraction form
    499,378.50/689,142.33 = 273,024/x
  3. Step 3: Cross multiply
    499,378.50x = 689,142.33 × 273,024
  4. Step 4: Simplify right side
    499,378.50x = 188,152,395,505.92
  5. Step 5: Solve for x
    x = 188,152,395,505.92/499,378.50
  6. Step 6: Final answer
    x = 376,773.12

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