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Finding the Fourth Proportional to 482,568.96, 723,736.80 and 202,296

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Solution

The fourth proportional to 482,568.96, 723,736.80 and 202,296 is: 303,395.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,568.96 : 723,736.80 = 202,296 : x
  2. Step 2: Convert to fraction form
    482,568.96/723,736.80 = 202,296/x
  3. Step 3: Cross multiply
    482,568.96x = 723,736.80 × 202,296
  4. Step 4: Simplify right side
    482,568.96x = 146,409,059,692.80
  5. Step 5: Solve for x
    x = 146,409,059,692.80/482,568.96
  6. Step 6: Final answer
    x = 303,395.10

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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.