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Finding the Fourth Proportional to 347,092.68, 478,989.03 and 194,133.50

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Solution

The fourth proportional to 347,092.68, 478,989.03 and 194,133.50 is: 267,904.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,092.68 : 478,989.03 = 194,133.50 : x
  2. Step 2: Convert to fraction form
    347,092.68/478,989.03 = 194,133.50/x
  3. Step 3: Cross multiply
    347,092.68x = 478,989.03 × 194,133.50
  4. Step 4: Simplify right side
    347,092.68x = 92,987,814,460.56
  5. Step 5: Solve for x
    x = 92,987,814,460.56/347,092.68
  6. Step 6: Final answer
    x = 267,904.86

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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.