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Finding the Fourth Proportional to 329,563.46, 494,301.44 and 92,925.20

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Solution

The fourth proportional to 329,563.46, 494,301.44 and 92,925.20 is: 139,375.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,563.46 : 494,301.44 = 92,925.20 : x
  2. Step 2: Convert to fraction form
    329,563.46/494,301.44 = 92,925.20/x
  3. Step 3: Cross multiply
    329,563.46x = 494,301.44 × 92,925.20
  4. Step 4: Simplify right side
    329,563.46x = 45,933,060,172.29
  5. Step 5: Solve for x
    x = 45,933,060,172.29/329,563.46
  6. Step 6: Final answer
    x = 139,375.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.