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Finding the Fourth Proportional to 482,504.32, 723,861.44 and 201,877.12

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Solution

The fourth proportional to 482,504.32, 723,861.44 and 201,877.12 is: 302,859.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,504.32 : 723,861.44 = 201,877.12 : x
  2. Step 2: Convert to fraction form
    482,504.32/723,861.44 = 201,877.12/x
  3. Step 3: Cross multiply
    482,504.32x = 723,861.44 × 201,877.12
  4. Step 4: Simplify right side
    482,504.32x = 146,131,062,786.25
  5. Step 5: Solve for x
    x = 146,131,062,786.25/482,504.32
  6. Step 6: Final answer
    x = 302,859.59

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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.