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Finding the Fourth Proportional to 306,302.24, 422,635.12 and 178,953.20

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Solution

The fourth proportional to 306,302.24, 422,635.12 and 178,953.20 is: 246,919.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,302.24 : 422,635.12 = 178,953.20 : x
  2. Step 2: Convert to fraction form
    306,302.24/422,635.12 = 178,953.20/x
  3. Step 3: Cross multiply
    306,302.24x = 422,635.12 × 178,953.20
  4. Step 4: Simplify right side
    306,302.24x = 75,631,907,156.38
  5. Step 5: Solve for x
    x = 75,631,907,156.38/306,302.24
  6. Step 6: Final answer
    x = 246,919.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.