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Finding the Fourth Proportional to 347,043.62, 478,944.60 and 194,096.04

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Solution

The fourth proportional to 347,043.62, 478,944.60 and 194,096.04 is: 267,866.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,043.62 : 478,944.60 = 194,096.04 : x
  2. Step 2: Convert to fraction form
    347,043.62/478,944.60 = 194,096.04/x
  3. Step 3: Cross multiply
    347,043.62x = 478,944.60 × 194,096.04
  4. Step 4: Simplify right side
    347,043.62x = 92,961,250,239.38
  5. Step 5: Solve for x
    x = 92,961,250,239.38/347,043.62
  6. Step 6: Final answer
    x = 267,866.18

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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.