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Finding the Fourth Proportional to 347,047.32, 478,921.92 and 194,083.80

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Solution

The fourth proportional to 347,047.32, 478,921.92 and 194,083.80 is: 267,833.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,047.32 : 478,921.92 = 194,083.80 : x
  2. Step 2: Convert to fraction form
    347,047.32/478,921.92 = 194,083.80/x
  3. Step 3: Cross multiply
    347,047.32x = 478,921.92 × 194,083.80
  4. Step 4: Simplify right side
    347,047.32x = 92,950,986,136.90
  5. Step 5: Solve for x
    x = 92,950,986,136.90/347,047.32
  6. Step 6: Final answer
    x = 267,833.75

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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.