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Finding the Fourth Proportional to 341,397, 512,144.16 and 181,431.24

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Solution

The fourth proportional to 341,397, 512,144.16 and 181,431.24 is: 272,172.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,397 : 512,144.16 = 181,431.24 : x
  2. Step 2: Convert to fraction form
    341,397/512,144.16 = 181,431.24/x
  3. Step 3: Cross multiply
    341,397x = 512,144.16 × 181,431.24
  4. Step 4: Simplify right side
    341,397x = 92,918,950,007.56
  5. Step 5: Solve for x
    x = 92,918,950,007.56/341,397
  6. Step 6: Final answer
    x = 272,172.72

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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.