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Finding the Fourth Proportional to 347,524.14, 479,440.78 and 211,449

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Solution

The fourth proportional to 347,524.14, 479,440.78 and 211,449 is: 291,712.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,524.14 : 479,440.78 = 211,449 : x
  2. Step 2: Convert to fraction form
    347,524.14/479,440.78 = 211,449/x
  3. Step 3: Cross multiply
    347,524.14x = 479,440.78 × 211,449
  4. Step 4: Simplify right side
    347,524.14x = 101,377,273,490.22
  5. Step 5: Solve for x
    x = 101,377,273,490.22/347,524.14
  6. Step 6: Final answer
    x = 291,712.90

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