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Finding the Fourth Proportional to 482,879.20, 724,189.20 and 202,338.40

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Solution

The fourth proportional to 482,879.20, 724,189.20 and 202,338.40 is: 303,453.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,879.20 : 724,189.20 = 202,338.40 : x
  2. Step 2: Convert to fraction form
    482,879.20/724,189.20 = 202,338.40/x
  3. Step 3: Cross multiply
    482,879.20x = 724,189.20 × 202,338.40
  4. Step 4: Simplify right side
    482,879.20x = 146,531,284,025.28
  5. Step 5: Solve for x
    x = 146,531,284,025.28/482,879.20
  6. Step 6: Final answer
    x = 303,453.29

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Why These Related Problems?

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