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Finding the Fourth Proportional to 347,884.82, 480,074.84 and 194,922.40

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Solution

The fourth proportional to 347,884.82, 480,074.84 and 194,922.40 is: 268,989.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,884.82 : 480,074.84 = 194,922.40 : x
  2. Step 2: Convert to fraction form
    347,884.82/480,074.84 = 194,922.40/x
  3. Step 3: Cross multiply
    347,884.82x = 480,074.84 × 194,922.40
  4. Step 4: Simplify right side
    347,884.82x = 93,577,339,992.42
  5. Step 5: Solve for x
    x = 93,577,339,992.42/347,884.82
  6. Step 6: Final answer
    x = 268,989.43

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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.