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Finding the Fourth Proportional to 269,233.70, 403,850.55 and 174,755.30

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Solution

The fourth proportional to 269,233.70, 403,850.55 and 174,755.30 is: 262,132.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,233.70 : 403,850.55 = 174,755.30 : x
  2. Step 2: Convert to fraction form
    269,233.70/403,850.55 = 174,755.30/x
  3. Step 3: Cross multiply
    269,233.70x = 403,850.55 × 174,755.30
  4. Step 4: Simplify right side
    269,233.70x = 70,575,024,020.42
  5. Step 5: Solve for x
    x = 70,575,024,020.42/269,233.70
  6. Step 6: Final answer
    x = 262,132.95

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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.