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Finding the Fourth Proportional to 400,593.28, 601,002.96 and 200,672.32

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Solution

The fourth proportional to 400,593.28, 601,002.96 and 200,672.32 is: 301,065.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,593.28 : 601,002.96 = 200,672.32 : x
  2. Step 2: Convert to fraction form
    400,593.28/601,002.96 = 200,672.32/x
  3. Step 3: Cross multiply
    400,593.28x = 601,002.96 × 200,672.32
  4. Step 4: Simplify right side
    400,593.28x = 120,604,658,310.07
  5. Step 5: Solve for x
    x = 120,604,658,310.07/400,593.28
  6. Step 6: Final answer
    x = 301,065.11

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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.