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Finding the Fourth Proportional to 473,431, 653,354.22 and 272,227

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Solution

The fourth proportional to 473,431, 653,354.22 and 272,227 is: 375,684.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,431 : 653,354.22 = 272,227 : x
  2. Step 2: Convert to fraction form
    473,431/653,354.22 = 272,227/x
  3. Step 3: Cross multiply
    473,431x = 653,354.22 × 272,227
  4. Step 4: Simplify right side
    473,431x = 177,860,659,247.94
  5. Step 5: Solve for x
    x = 177,860,659,247.94/473,431
  6. Step 6: Final answer
    x = 375,684.44

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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.