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Finding the Fourth Proportional to 347,777.50, 479,932.96 and 196,874.50

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Solution

The fourth proportional to 347,777.50, 479,932.96 and 196,874.50 is: 271,686.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,777.50 : 479,932.96 = 196,874.50 : x
  2. Step 2: Convert to fraction form
    347,777.50/479,932.96 = 196,874.50/x
  3. Step 3: Cross multiply
    347,777.50x = 479,932.96 × 196,874.50
  4. Step 4: Simplify right side
    347,777.50x = 94,486,561,533.52
  5. Step 5: Solve for x
    x = 94,486,561,533.52/347,777.50
  6. Step 6: Final answer
    x = 271,686.82

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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.