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Finding the Fourth Proportional to 499,409.80, 749,114.70 and 200,033.80

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Solution

The fourth proportional to 499,409.80, 749,114.70 and 200,033.80 is: 300,050.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,409.80 : 749,114.70 = 200,033.80 : x
  2. Step 2: Convert to fraction form
    499,409.80/749,114.70 = 200,033.80/x
  3. Step 3: Cross multiply
    499,409.80x = 749,114.70 × 200,033.80
  4. Step 4: Simplify right side
    499,409.80x = 149,848,260,076.86
  5. Step 5: Solve for x
    x = 149,848,260,076.86/499,409.80
  6. Step 6: Final answer
    x = 300,050.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.