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Finding the Fourth Proportional to 347,047.30, 478,921.94 and 194,083.80

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Solution

The fourth proportional to 347,047.30, 478,921.94 and 194,083.80 is: 267,833.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,047.30 : 478,921.94 = 194,083.80 : x
  2. Step 2: Convert to fraction form
    347,047.30/478,921.94 = 194,083.80/x
  3. Step 3: Cross multiply
    347,047.30x = 478,921.94 × 194,083.80
  4. Step 4: Simplify right side
    347,047.30x = 92,950,990,018.57
  5. Step 5: Solve for x
    x = 92,950,990,018.57/347,047.30
  6. Step 6: Final answer
    x = 267,833.78

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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.