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Finding the Fourth Proportional to 347,044.17, 478,945.38 and 194,096.60

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Solution

The fourth proportional to 347,044.17, 478,945.38 and 194,096.60 is: 267,866.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,044.17 : 478,945.38 = 194,096.60 : x
  2. Step 2: Convert to fraction form
    347,044.17/478,945.38 = 194,096.60/x
  3. Step 3: Cross multiply
    347,044.17x = 478,945.38 × 194,096.60
  4. Step 4: Simplify right side
    347,044.17x = 92,961,669,843.71
  5. Step 5: Solve for x
    x = 92,961,669,843.71/347,044.17
  6. Step 6: Final answer
    x = 267,866.97

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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.